Global Utilities

Department of Mathematics and Statistics

Mathematics Staff Member

Prof. Bert Mond

Position: Emeritus Professor, Department of Mathematics.
Office Location: Room 322, Physical Sciences 2, La Trobe University, VICTORIA, 3086
Office Phone: (03) 9479 2603
Fax: (03) 9479 2466
Email: B.Mond@latrobe.edu.au

Publications
  1. Multivariate Polynomial Approximation for Equidistant Data, Mathematics of Computation, Vol. XVIII, No. 86, April 1964, pp. 298-301.
  2. On Direct Sums and Tensor Products of Linear Programs (with A. Jaeger), Zeitschrift für Wahrscheinlichkeitstheorie 3, (1964), pp. 19-31.
  3. On the Direct Sum and Tensor Product of Matrix Games, Naval Research Logistics Quarterly, Vol. 11, Nos 2 & 3, June-Sept 1964, pp. 205-215.
  4. Zeros of Polyomials in Several Variables and Fractional Order Differences of their Coefficients (with O. Shisha), Journal of Research of National Bureau of Standards - B, Mathematics and Mathematical Physics, Vol. 68B, No. 3, July-Sept 1964, pp. 115-118.
  5. On Direct Sums and Tensor Products of Non-Linear Programs, Zeitschrift für Wahrscheinlichkeitstheorie 4, (1965), pp. 27-39.
  6. A Symmetric Dual Theorem for Non-Linear Programs, Quarterly of Applied Mathematics, Vol. XXIII, No. 3, Oct. 1965, pp. 265-269.
  7. A Matrix Version of Rennie's Generalization of Kantorovich's Inequality, Proceedings of the American Mathematical Society, Vol. 16, No. 5, Oct. 1965, pp. 1131.
  8. The Rapidity of Convergence of the Hermite-Fejér Approximation to Functions of One or Several Variables (with O. Shisha), Proceedings of the American Mathematical Society, Vol. 16, No. 6, December 1965, pp. 1269-1276.
  9. A Matrix Inequality including that of Kantorovich, Journal of Mathematical Analysis and Applications, Vol. 13, No. 1, January 1966, pp. 49-52.
  10. Self-Duality in Mathematical Programming (with R. Cottle), SIAM Journal of Applied Mathematics, Vol. 14, No. 3, May 1966, pp. 420-423.
  11. An Inequality for Operators in a Hilbert Space, Pacific Journal of Mathematics, Vol. 18, No. 1, July 1966, pp. 161-163.
  12. On the Approximation of Functions of Several Variables (with O. Shisha), Journal of Research of National Bureau of Standards - B, Mathematics and Mathematical Physics, Vol. 70B, No. 3, July-Sept. 1966, pp. 211-218.
  13. Blanch Anniversary Volume - Editor, Aerospace Research Laboratories, Office of Aerospace Research, U.S. Air Force, Feb. 21, 1967.
  14. Some Computational Aspects of the Tensor Product of Linear Programs (with D. Clemm), Blanch Anniversary Volume, B. Mond (Editor), ARL, OAR, U.S.A.F., February 1967.
  15. A Difference Inequality for Operators in Hilbert Space (with O. Shisha), Blanch Anniversary Volume, B. Mond (Editor), ARL, OAR, U.S.A.F., February, 1967.
  16. Differences of Means (with O. Shisha), Bulletin of the American Mathematical Society, Vol. 73, No. 3, May 1967, pp. 328-333.
  17. Duality for Variational Problems (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 18, No. 2, May 1967, pp. 355-364.
  18. Bounds on Differences of Means (with O.Shisha), Inequalities - Proceedings of a Symposium, Academic Press, N.Y., 1967, pp. 293-308.
  19. Ratios of Means and Applications (with O.Shisha), Ineqalities - Proceedings of a Symposium, Academic Press, New York, 1967, pp. 191-197.
  20. Quadratic Programming in Complex Space (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 20, No. 3, December 1967, pp. 507-514.
  21. Duality for Control Problems (with M. A. Hanson), SIAM Journal on Control, Vol. 6, No. 1, 1968, pp. 114-120.
  22. A Class of Continuous Convex Programming Problems (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 22, No. 2, May 1968, pp. 427-437.
  23. Symmetric Duality for Variational Problems (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 23, No. 1, July 1968, pp. 161-172.
  24. Symmetric Duality for Quadratic Programming in Complex Space (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 23, No. 2, August 1968, pp. 284-293.
  25. The Degree of Convergence of Sequences of Linear Positive Operators (with O. Shisha), Proceedings of the National Academy of Sciences of the U.S.A., Vol. 60, No. 4, August 1968, pp. 1196-1200.
  26. On Duality for Real and Complex Programming Problems (with M. A. Hanson), Journal of Mathematical Analysis and Applications, Vol. 24, (1968), pp. 307-312.
  27. The Degree of Approximation to Periodic Functions by Linear Positive Operators (with O. Shisha), Journal of Approximation Theory, Vol. 1, (1968), pp. 335-339.
  28. A Complex Transposition Theorem with Applications to Complex Programming (with M. A. Hanson), Linear Algebra and its Applications, Vol. 2, (1969), pp. 49-56.
  29. Some Generalizations and Applications of a Complex Transposition Theorem (with M. A. Hanson), Linear Algebra and its Applications, Vol. 2, (1969), pp. 401-411.
  30. Generalized Inverse Extensions of Matrix Inequalities, Linear Algebra and its Applications, Vol. 2 (1969), pp. 393-399.
  31. Duality for Nonlinear Programming in Complex Space (with M. A. Hanson), J. Math. Anal. Appl., Vol. 28, No. 1, October 1969, pp. 52-58.
  32. On the Monotonicity of Complex Matrices, SIAM Review, Vol. 12, No. 4, October 1970, pp. 577-579.
  33. Difference and Ratio Inequalities in Hilbert Space (with O. Shisha), Inequalities Vol. II, Academic Press, N.Y., 1970, pp. 241-249.
  34. An Extension of the Transposition Theorems of Farkas and Eisenberg, J. Math. Anal. Appl., Vol. 32, No. 3, December 1970, pp. 559-566.
  35. Nonlinear Nondifferentiable Programming in Complex Space, Nonlinear Programming, Academic Press, N.Y., 1970, pp. 385-400.
  36. On Converse Duality in Nonlinear Programming (with B. Craven), Operations Research, Vol. 19, No. 4, July-August 1971, pp. 1075-1078.
  37. Generalizations of the Cauchy-Schwarz and Hölder Inequalities (with C.J. Eliezer), Inequalities III, Academic Press, N.Y., 1972, pp. 97-101.
  38. On Transposition Theorems in Complex Space, Inequalities Vol. III, Academic Press, N.Y., 1972, pp. 235-240.
  39. Converse and Symmetric Duality in Complex Nonlinear Programming (with B. Craven), J. Math. Anal. Appl., Vol. 37, No. 3, 1972, pp. 617-626.
  40. Fractional Programming, in Optimization, University of Queensland Press, 1972, pp. 172-181.
  41. On a Duality Theorem for a Nonlinear Programming Problem, Operations Research 21, 1973, pp. 369-370.
  42. A Fritz John Theorem in Complex Space (with B. Craven), Bulletin Aust. Math. Soc., Vol. 8, (1973), No. 2, pp. 215-220.
  43. The Dual of a Fractional Linear Program (with B. Craven), J. Math. Anal. Appl., Vol. 42, No. 3, June 1973, pp. 507-512.
  44. Transposition Theorems for Cone-Convex Functions (with B. Craven), SIAM J. Appl. Math., Vol. 24, No. 4, June 1973, pp.603-612.
  45. A Note on Mathematical Programming with Fractional Objective Functions (with B. Craven), Nav. Res. Log. Quart. Vol. 20, No. 3, September 1973, pp. 577-581.
  46. On Duality in Complex Linear Programming (with B. Craven), J. Aust. Math. Soc., Vol. XVI, part 2 (1973), pp. 172-175.
  47. On the Complex Complementarity Problem, Bull. Aust. Math. \ Soc., Vol. 9, No. 2 (1973), pp. 249-257.
  48. Nonlinear Complex Programming, J. Math. Anal. Appl., Vol. 43, No. 3, September 1973, pp. 633-641.
  49. Real and Complex Fritz John Theorems (with B. Craven), J. Math. Anal. Appl., Vol. 44, No. 3, December 1973, pp. 773-778.
  50. Duality for a Complex Nonlinear Program, Opsearch, Vol. 11, No. 1, March 1974, pp. 1-9.
  51. A Class of Nondifferentiable Mathematical Programming Problems, J. Math. Anal. Appl., Vol. 46, No. 1, April 1974, pp. 169-174.
  52. Duality for Complex Programming, J. Math. Anal. Appl., Vol. 46, No. 2, May 1974, pp. 478-486.
  53. Second Order Duality for Non-linear Programs, Opsearch, Vol. 11, Nos. 2 & 3, June-Sept 1974, pp. 90-99.
  54. Nonlinear Fractional Programming (with B. Craven), Bull. Aust. Math. Soc., Vol. 12, No. 3 (1975), pp. 391-397.
  55. A Class of Nondifferentiable Complex Programming Problems (with B. Craven), Zeitschrift Mathematische Operationsforschung und Statistik, Vol. 6, No. 4 (1975), pp. 581-591.
  56. On Fractional Programming and Equivalence (with B. Craven), Nav. Res. Log. Quart. Vol. 22, No. 2 (1975), pp. 405-410.
  57. A Note on Duality for Complex Linear Programming (with Z. Greenblatt), Opsearch, Vol. 12, Nos. 3 & 4, Sept-Dec 1975, pp. 119-123.
  58. Symmetric Duality for Nonlinear Programming, Opsearch, Vol. 13, 1976, pp. 1-10.
  59. On a Constraint Qualification in a Non-differentiable Programming Problem (with M. Schechter), Nav. Res. Log. Quart., Vol. 23, No. 4, December 1976, pp. 611-613.
  60. On the Degree of Approximation by Linear Positive Operators, Journal of Approximation Theory, Vol. 18, No. 3, November 1976, pp. 304-306.
  61. Duality for Homogeneous Fractional Programming (with B. Craven), Cahiers du Centre d'Études de Recherche Opérationelle (C.C.E.R.O.), Vol. 18, No. 4, 1976, pp. 413-417.
  62. Programming Problem with an Lp Norm in the Objective Function (with M. Schechter), Journal of the Australian Mathematical Society, Series B, Vol. XIX, pt. 3, 1976, pp. 333-342.
  63. Sufficient Fritz John Optimality Conditions for Nondifferentiable Convex Programming (with B. Craven), Journal of the Australian Mathematical Society, Series B, Vol. XIX, pt. 4, 1976, pp. 462-468.
  64. Complementarity for Arbitrary Cones (with B. Craven), Zeitschrift für Operations Research (ZOR), Vol. 21, (1977), pp. 143-150.
  65. On Converse Duality for a Nondifferentiable Programming Problem, Operations Research, Vol. 25, No. 4 (1977), pp. 713-715.
  66. Sufficient Optimality Conditions for Complex Programming with Quasi-concave Constraints (with B. Craven), Zeitschrift Mathematische Operationsforschung und Statistik, Vol. 8, No. 4 (1977), pp. 445-453.
  67. A Class of Nondifferentiable Fractional Programming Problems, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 58, (1978), pp. 337-341.
  68. A Duality Theorem for a Homogeneous Fractional Programming Problem (with M. Schechter), Journal of Optimization Theory and Applications, Vol. 25, No. 3, July 1978, pp. 349-359.
  69. A Note on Duality in Homogeneous Fractional Programming (with B. Craven), Nav. Res. Log. Quart., Vol. 26, No. 1, March 1979, pp. 153-155.
  70. On Duality for Fractional Programming (with B. Craven), Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 59, 1979, pp. 278-279.
  71. A Duality Theorem for a Nondifferentiable Nonlinear Fractional Programming Problem(with B. Craven), Bulletin of the Australian Mathematical Society, Vol. 20, 1979, pp. 397-406.
  72. Duality for Nondifferentiable Programming without a Constraint Qualification (with S. Zlobec), Utilitas Mathematica, Vol. 15, (1979), pp. 291-302.
  73. Lagrangean Conditions for Quasidifferentiable Optimization (with B. Craven), in Survey of Mathematical Programming, Vol. 1, (North Holland) A.Prékopa, editor (1979), pp. 177-192.
  74. Duality in Homogeneous Fractional Programming (with M.Schechter), Journal of Information and Optimization Sciences, Vol. 1 (1980), pp. 271-280.
  75. On Approximation by Linear Positive Operators (with R. Vasudevan), Journal of Approximation Theory, Vol. 30, (1980), pp. 334-336.
  76. Generalized Concavity and Duality (with T. Weir), in Generalized Concavity in Optimization and Economics, S. Schaible and W.T. Ziemba, editors, 1981, Academic Press, N.Y., pp. 263-279.
  77. Linear Programming with Matrix Variables (with B. Craven), Linear Algebra and its Applications, Vol. 83, (1981), pp. 73-80.
  78. On Algorithmic Equivalence in Linear Fractional Programming, Mathematics of Computation, Vol. 37, (1981), pp. 185-187.
  79. Further Generalizations of Convexity in Mathematical Programming (with M. A. Hanson), Journal of Information and Optimization Sciences, Vol. 3 (1982), pp. 25-32.
  80. Game Theory in Complex Space (with G. Murray), Opsearch, Vol. 19, (1982), pp. 1-11.
  81. Techniques for Pseudo-Monotonic Programming, in Proceedings of the Eighth South African Symposium on Numerical Mathematics, J. A. Snyman, Editor, Department of Computer Science, University of Natal, Durban, S.A., 1982, pp. 107-123.
  82. Modified Duality with Mixed Integer Problems (with B. Craven), Utilitas Mathematica, Vol. 21C, (1982), pp. 235-248.
  83. Duality for Fractional Programming with Generalized Convexity Conditions (with T. Weir), Journal of Information and Optimization Sciences, Vol. 3, (1982), pp. 105-124.
  84. A Minimax Theorem for Matrix Games in Complex Space (with G.J. Murray), Opsearch, Vol. 20, (1983), pp. 25-34.
  85. On Maximizing a Ratio of Optimization Problems (with B. Craven), Centre d'Études de Recherche Opérationnelle, Vol. 25, (1983), pp. 29-34.
  86. Generalized Convexity in Mathematical Programming, Bulletin of the Australian Mathematical Society, Vol. 27, (1983), pp. 185-202.
  87. Existence Theory for Programming and Associated Complementarity Problems (with J. Parida), Utilitas Mathematica, Vol. 24, (1983), pp. 5-18.
  88. On a Complementarity Problem Associated with Nondifferentiable Programming (with B. D. Craven and J. Parida), Journal of the Australian Mathematical Society, Series B, Vol. 25, (1984), pp. 419-430.
  89. Generalized Concavity and Duality in Continuous Programming (with M. A. Hanson and T. Weir), Journal of Mathematical Analysis and Applications, Vol. 104, (1984), pp. 212-218.
  90. Techniques for Constrained Optimization, Advances in Management Studies, Vol. 2, (1983), pp. 135-145.
  91. Multiple Attribute Decision-Making: A Linear Programming Approach (with E.E. Rosinger), Advances in Management Studies, Vol. 2, (1983), pp. 147-152.
  92. On Duality with Generalized Convexity (with M. A. Hanson), Mathematische Operationsforsch. u. Statist., ser. Optimization, Vol. 25, (1984), pp. 313-317.
  93. On Solvability of the Complex Linear Complementarity Problem (with J. Parida), Indian J. Pure Appl. Math., Vol. 15, (1984), pp. 962-967.
  94. Generalized Convexity and Higher Order Duality (with T. Weir), Journal of Mathematical Sciences, Vol. 16-18, (1981-83), pp. 74-94.
  95. First-order Optimality Conditions for Generalized Convex Functions: A Feasible Directions Approach (with A. Ben-Israel), Utilitas Mathematica, Vol. 25, (1984), pp. 249-262.
  96. Interactive Weight Assessment in Multiple Attribute Decision Making (with E.E. Rosinger), European Journal of Operations Research, Vol. 22, (1985), 19-25.
  97. On Solving Complex Programs (with G. Murray), Opsearch, Vol. 21, (1984), 262-270.
  98. Generalized Convexity and Duality for Complex Programming Problems (with T. Weir), Cahiers du Centre d'Études de Recherche Opérationelle (CCERO), Vol. 26, (1984), 137-142.
  99. Symmetric Dual Fractional Programming (with S. Chandra and B. D. Craven), Zeitschrift für Operations Research, Vol. 29, (1985), 59-64.
  100. Generalized Concavity and Duality with a Square Root Term (with S. Chandra and B. D. Craven), Mathematische Operationsforschung und Statistik, Series Optimization, Vol. 16, (1985), pp. 653-662.
  101. Generalized Fractional Programming Duality: A Ratio Game Approach (with S. Chandra and B. D. Craven), Journal of the Australian Mathematical Society, Series B, Vol. 28, (1986), pp. 170-180.
  102. On Strict Converse Duality in Nonlinear Programming (with R. R. Egudo), Journal of Information and Optimization Sciences, Vol. 6, (1985), pp. 113-116.
  103. Nonlinear Programming Duality and Matrix Game Equivalence (with S. Chandra and B. D. Craven), Journal of the Australian Mathematical Society, Series B, Applied Mathematics, Vol. 26 , (1985), pp. 422-429.
  104. Duality for Generalized Convex Programming without a Constraint Qualification (with T. Weir), Utilitas Mathematica, Vol. 31, (1987), 233-242.
  105. On Sufficient Optimality Conditions for Mathematical Programs with Equality Constraints (with A. Ben-Israel), Journal of Optimization Theory and Applications, Vol. 47, (1985), pp. 253-255.
  106. What is Invexity? (with A. Ben-Israel), Journal of the Australian Mathematical Society, Series B, Vol. 28, (1986), pp. 1-9.
  107. Duality with Generalized Convexity (with R. R. Egudo), Journal of the Australian Mathematical Society, series B, Vol. 28, (1986), pp. 10-21.
  108. Necessary and Sufficient Conditions in Constrained Optimization (with M. A. Hanson), Mathematical Programming, Vol. 37, (1987), 51-58.
  109. Weak Minimization and Duality (with B. D.Craven and T. Weir), Numerical Functional Analysis and Optimization, Vol. 9, (1987), pp. 181-192.
  110. On Duality for Weakly Minimized Vector Valued Optimization Problems (with B. D. Craven and T. Weir), Mathematische Operationsforschung und Statistik, Series Optimization, Vol. 17, (1986), 1-10.
  111. Sufficient Fritz John Optimality Conditions and Duality for Nonlinear Programming Problems (with T. Weir), OPSEARCH, Vol. 23, (1986), 129-141.
  112. Convex Transformable Programming Problems and Invexity (with M. A. Hanson), Journal of Information and Optimization Sciences, Vol. 8, (1987), 201-207.
  113. Pre-Invex Functions in Multiple Objective Optimization (with T. Weir), Journal of Mathematical Analysis and Applications, Vol. 136, (1988), 29-38.
  114. Duality for Variational Problems with Invexity (with S. Chandra and I. Husain), Journal of Mathematical Analysis and Applications, Vol. 134, (1988), 322-328.
  115. Symmetric Dual Non-Differentiable Fractional Programming (with S. Chandra and M. V. Durga Prasad), Indian Journal of Management and Systems, Vol. 3, (1987), 1-9.
  116. Constrained Games and Symmetric Duality (with S. Chandra and M. V. Durga Prasad), OPSEARCH, Vol. 24, (1987), 69-77.
  117. Constrained Ratio Games and Generalized Fractional Programming (with S. Chandra and M. V. Durga Prasad), Zeitschrift für Operations Research, Series A: Theory, Vol. 32, (1988), 307-314.
  118. Duality for a Class of Nondifferentiable Multi-Objective Programming Problems (with I. Hussain and M. V. Durga Prasad), Journal of Information and Optimization Sciences, Vol. 9, (1988), pp. 331-341.
  119. Duality and Sufficiency in Control Problems with Invexity< (with I. Smart), Journal of Mathematical Analysis and Applications, Vol. 136, (1988), 325-333.
  120. Symmetric and Self Duality in Multi-Objective Programming (with T. Weir), Asia-Pacific Journal of OperationalResearch, Vol. 5, (1988), 124-133.
  121. Duality with Invexity for a Class of Nondifferentiable Static and Continuous Programming Problems (with I. Smart), Journal of Mathematical Analysis and Applications, Vol. 141, (1989), pp. 373-388.
  122. Sufficient Optimality Criteria and Duality for Variational Problems with Generalized Invexity (with I. Husain), Journal of the Australian Mathematical Society, series B, Vol. 31, (1989), pp. 108-121.
  123. Generalized Convexity and Duality in Multiple Objective Programming (with T. Weir), Bulletin of the Australian Mathematical Society, Vol. 39, (1989), pp. 287-299.
  124. Symmetric Duality with Invexity In Variational Problems (with I. Smart), Journal of Mathematical Analysis and Applications, Vol. 152, (1990), pp. 536-545.
  125. Complex Nonlinear Programming - Duality with Invexity, and Equivalent Real Programs (with I. Smart), Journal of Optimization Theory and Applications, Vol. 69, (1991), pp. 469-488.
  126. Continuous Linear Programs and Continuous Matrix Game Equivalence (with S. Chandra and M. V. Durga Prasad), in Recent Developments in Mathematical Programming, Santosh Kumar, Editor, Gordon and Breach Science Publishers, Melbourne, 1991, pp. 397-406.
  127. On Duality in Generalized Minimax Programs (with T. Weir and B. D. Craven), Asia-Pacific Journal of Operational Research, Vol. 7, (1990), pp. 55-62.
  128. Duality for a Class of Nondifferentiable Multi-objective Programs (with I. Husain and M. V. Durga Prasad), Utilitas Mathematica, Vol. 39, (1991), pp. 3-19.
  129. Vector-Valued Lagrangian and Multiobjective Fractional Programming Duality, (with S. Chandra and B. D. Craven), Numerical Functional Analysis and Optimization, Vol. 11, (1990), pp. 239-254.
  130. Symmetric Duality for Nonlinear Multi-objective Programming (with T. Weir), in Recent Developments in Mathematical Programming, Santosh Kumar, Editor, Gordon and Breach Science Publishers, Melbourne, 1991, pp. 137-153.
  131. Sufficient Optimality Conditions and Duality for a Pseudoconvex Minimax Problem (with T. Weir), Cahiers du Centre D'Études de Recherche Opérationnelle, Vol. 33, (1991), pp. 123-128.
  132. Duality for Fractional Programming without a Constraint Qualification (with T. Weir), Utilitas Mathematica, Vol. 38, (1990), pp. 193-197.
  133. Constrained Games and Symmetric Duality with Pseudo-Invexity (with S. Chandra and I. Smart), OPSEARCH, Vol. 27, (1990), pp. 14-30.
  134. Multiobjective Fractional Programming Duality; a Lagrangian Approach (with S. Chandra and B. D. Craven), Optimization, Vol. 22, (1991), pp. 549-556.
  135. Multiple Objective Programming Duality Without a ConstraintQualification (with T. Weir), Utilitas Mathematica, Vol. 39, (1991), pp. 41-55.
  136. The Role of Invexity in Optimization (with I. Smart), Proceedings of the international workshop in analysis and applications, Editors, C.V. Stanojevic and O. Hadzic, Novi Sad, 1991, pp. 177-196.
  137. Duality without constraint qualification for MultiobjectiveProgramming (with R. R. Egudo and T. Weir), Journal of the Australian Mathematical Society, Series B, Vol. 33, (1992), pp. 531-534.
  138. Duality without constraint qualification for MultiobjectiveFractional Programming (with T. Weir and R. R. Egudo),Asia-Pacific Journal of Operational Research, Vol. 9, (1992), pp. 195-206.
  139. On Generalized Convex Mathematical Programming (with V. Jeyakumar), Journal of the Australian Mathematical Society, Series B, Vol. 34, (1992), pp. 43-53.
  140. On Invexity and other forms of Generalized Convexity (withI. Smart), in Management Science Recherche Operationelle, Proceedings of the Annual Conference of the Administrative Sciences Association of Canada, Management Sciences Division, Vol. 12, (1991), pp. 16-25.
  141. A Matrix Inequality including that of Kantorovich-Hermite II (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 168, (1992), pp. 381-384.
  142. An Inequality for Operators in a Hilbert Space II (with J. E. Pecaric), Houston Journal of Mathematics, Vol. 18, (1992), pp. 175-179.
  143. Inequalities with weights for powers of generalisedinverses (with J. E. Pecaric), Bulletin of the Australian Mathematical Society, Vol. 48, (1993), pp. 7-12.
  144. Remarks on Jensen's inequality for operator convex functions (with J. E. Pecaric), Ann. Univ. Mariae Curie-Sklodowska, Sec. A, Vol. 47, (1993), pp. 96-103.
  145. Matrix Versions of some Means Inequalities (with J. E. Pecaric), Australian Mathematical Society Gazette, Vol. 20, (1993), pp. 117-120.
  146. Remark on a Recent Converse of Hölder's Inequality (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 181, (1994), pp. 280-281.
  147. Jensen's Inequality for Operator Monotone Functions (with J. E. Pecaric), Rendiconti del Circolo Matematico Di Palermo, Series II, Vol. 43, (1994), pp. 16-24.
  148. On an Operator Analogue of the Brenner-Newcomb-Ruehr Inequality (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 182, (1994), pp. 34-40.
  149. Convex inequalities in Hilbert space (with J. E. Pecaric), Houston Journal of Mathematics, Vol. 19, (1993), pp. 405-420.
  150. Hölder and Minkowski inequalities for commuting matrices (with J. E. Pecaric), Southeast Asian Bulletin of Mathematics, Vol. 18, (1994), pp. 73-77.
  151. An inequality for operators in a Hilbert space III (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, \ Vol. 183, (1994), pp. 385-390.
  152. A matrix version of the Ky Fan generalization of the Kantorovich inequality (with J. E. Pecaric), Linear and Multilinear Algebra, Vol. 36, (1994), pp. 217-221.
  153. Inequalities involving powers of generalized inverses (with J. E. Pecaric), Linear Algebra and its Applications, Vol. 99, (1994), pp. 293-303.
  154. Inequalities for semi-convex matrix functions (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 185, (1994), pp. 367-377.
  155. Generalizations and applications of Cauchy-Schwarz inequalities II (with C.J. Eliezer and J. E. Pecaric), Analele Univ. Timisoara - Sect. Mathematics, Romania, Vol. 31(1), (1993), pp. 45-50.
  156. Convex inequalities for several self-adjoint operators in a Hilbert space (with J. E. Pecaric), Indian Journal of Mathematics, Vol. 35, (1993), pp. 121-135.
  157. Hölder and Minkowski Inequalities in Hilbert Space (with J. E. Pecaric), Mathematica Balkanica, Vol. 8(1), (1994), pp. 45-49.
  158. Some inequalities for monotonic sequences of operators (with J. E. Pecaric), Rad Hazu, Vol 12 (1955), 209-215.
  159. Generalizations of the Cauchy-Schwarz and Hölder inequalities II (with C.J. Eliezer and J. E. Pecaric), Bulletin of the Calcutta Mathematics Society, Vol. 85, (1993), pp. 473-478.
  160. Some remarks on Bessel's inequality in inner product spaces (with S. S. Dragomir and J. E. Pecaric), Studia Univ. Babes-Bolyai, Mathematica, Vol. 37, (1992), pp. 77-86.
  161. A functional inequality with applications (with S. S. Dragomir and J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 187, (1994), pp. 287-295.
  162. Hölder, Minkowski and related operator inequalities (with J. E. Pecaric), Macedonian Academy of Sciences and Arts, Section ofMathematical and Technical Sciences, Contributions, Vol. XIII/2, (1992), pp. 5-21.
  163. On some operator inequalities (with J. E. Pecaric), Indian Journal of Mathematics, Vol, 35, (1993), pp. 221-232.
  164. Generalized power means for matrix functions, (with J. E. Pecaric), Publ. Math. Debrecen, Vol. 46, (1995), pp. 33-39.
  165. A general matrix inequality for commuting matrices (with J. E. Pecaric), Studia Univ. Babes-Bolyai, Mathematica, Vol. 38(4), (1993), pp. 15-23.
  166. History, variations and generalizations of an inequality of Marcus (with J. E. Pecaric and S. Saitoh), Riazi, the Journal of the Karachi Mathematical Society, Vol 16 (1994), 7-15
  167. Inequalities with weights for powers of generalized inverses II, (with J. E. Pecaric), Linear Algebra and its Applications, Vol. 210, (1994), pp. 265-272.
  168. Classical inequalities for matrix functions, (with J. E. Pecaric) Utilitas Mathematica, Vol. 46, (1994), pp. 155-166.
  169. Generalization of a matrix inequality of Ky Fan (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 190, (1995), pp. 244-247.
  170. Difference and ratio operator inequalities in Hilbert space (with J. E. Pecaric), Houston Journal of Mathematics, Vol. 21, (1994), pp. 103-108.
  171. A simple proof of the Beckenbach-Lorentz inequality (with J. E. Pecaric), Bulletin of the Australian Mathematical Society, Vol. 51, (1995), pp. 417-420.
  172. A matrix version of the Ky Fan generalization of the Kantorovich inequality II (with J. E. Pecaric), Linear and Multilinear Algebra, Vol. 38, (1995), pp. 309-313.
  173. Reverse forms of a convex matrix inequality (with J. E. Pecaric), Linear Algebra and Applications, Vol. 220, (1995), pp. 359-364.
  174. On converses of Hölder and Beckenbach inequalities (with J. E. Pecaric), Journal of Mathematical Analysis and Applications, Vol. 196, (1995), 795-799.
  175. Generalized convexity and duality for the nonlinear programming problem with nonnegative variables (with J. Zhang), in Proceedings of the Optimization Mini-Conference, B.M. Glover, V. Jeyakumar and G.T. Anderson, editors, University of Ballarat, 1994, pp. 55-63.
  176. Generalized convexity and higher order duality of the non-linear programming problem with non-negative variables (with J. Zhang), in Recent Advances in Nonsmooth Optimization, D.Z. Du, L. Qi and R.S. Womersley, World Scientific Publishers, 1995.
  177. Bounds for Jensen's inequality for several operators (with J. E. Pecaric), Houston Journal of Mathematics, Vol. 20, (1994), pp. 645-651.
  178. Converses of Jensen's inequality for linear maps of operators (with J. E. Pecaric), Anal. Univ. Timisoara, Vol. 31(2), (1993), pp. 223-228.
  179. Generalized dual to the monotone nonlinear complementarity problem (with J. Zhang), Journal of Information and Optimization Sciences, Vol. 19, (1998), 73-86
  180. Non-differentiable symmetric duality (with M. Schechter), Bulletin of the Australian Mathematical Society, Vol. 53, (1996), 177-178.
  181. Some inequalities for Fourier coefficients in inner product spaces (with S. S. Dragomir), Periodica Mathematica Hungarica, Vol. 31, (1995), 167-182.
  182. Sharpening Hölder's inequality, (with S. Abramovich and J. E. Pecaric), J. Math. Anal. Appl., Vol. 196, (1995), 1131-1134.
  183. An extension of the generalised Schur inequality (with J. E. Pecaric), Bulletin of the Australian Mathematical Society, Vol. 52, (1995), pp. 341-344.
  184. A mixed arithmetic-mean harmonic-mean matrix inequality, (with J. E. Pecaric), Lin. Alg. Appl., Vol. 237/238, (1996), 449-454.
  185. On an inequality for spectral radius (with J. E. Pecaric), Lin. Multilin. Alg., Vol. 40, (1996), 203-206.
  186. Duality for multiobjective programming involving second order V-invex functions (with J. Zhang), in Proceedings of Optimization Miniconference, B.M. Glover and V. Jeyakumar, editors, University of Ballarat, Ballara, Australia, 1995, 89-100.
  187. Matrix inequalities for commuting matrices (with J. E. Pecaric), Studia Univ. Babes-Bolyai - Mathematica, Vol. 39(2), 1994, pp. 3-26.
  188. A remark on Hölder's inequality for commuting matrices (with J. E. Pecaric), Southeast Asian Bulletin of Mathematics, Vol. 20, (1996), 19-20.
  189. On the superadditivity and monotonicity of Gram's inequality and related results (with S. S. Dragomir), Acta Mathematica Hungarica, Vol. 71 (1-2), 75-90 .
  190. Two refinements of Cauchy-Buniakowsky-Schwarz's integral inequality (with S. S. Dragomir), OCTOGON, Math Magazine (Romania) Vol. 3(1), (1995), 7-9.
  191. On Jensen's inequality for self-adjoint operators in Hilbert space (with S. S. Dragomir and J. E. Pecaric), Acta Univ. Palackianae Olumucensis, Vol. 34, (1995), 7-13.
  192. Remarks on a quasi-mean functional equation (with J. E. Pecaric), OCTOGON, Math Magazine (Romania), Vol. 3(1), (1995), 18-20.
  193. Szego and related inequalities for operator-convex functions (with J. E. Pecaric), Soochow Journal of Mathematics, Vol. 22, (1996), 33-37.
  194. On Cauchy-Buniakowski-Schwarz's inequality for sequences of linear operators in Hilbert spaces (with S. S. Dragomir), Houston Journal of Mathematics, Vol. 22, (1996), 329-339.
  195. On Jensen's inequality for operator convex functions (with J. E.Pecaric), Houston Journal of Mathematics, Vol. 21, (1995), 739-754..
  196. Some mappings associated with Cauchy-Buniakowski-Schwarz's inequality in inner product spaces (with S. S. Dragomir), Soochow Journal of Mathematics, 21(4), 1995, pp. 413-426.
  197. A mixed means inequality (with J. E. Pecaric), Australian Mathematical Society Gazette, Vol. 23, (1996), 67-70.
  198. Interpolations to Jensen's inequality, with applications to refinements of the triangle inequality for normed linear spaces (with S. S. Dragomir, C. E. M. Pearce and J. E. Pecaric), Studia Univ. Babes-Bolyai, Vol. 41, (1996), 17-31.
  199. Converses of Jensen's inequality for several operators (with J.E. Pecaric), Anal. Numer. Theor. Approx., 23 (1994), 179- 183.
  200. The arithmetic mean - the geometric mean and related matrix inequalities (with J. Pecaric), General Inequalities 7, 1997, 77- 91.
  201. Some matrix inequalities of Ky Fan type (with J.E. Pecaric), Tamkang Journal of Mathematics, 26 (1995), 321-326.
  202. A simple proof of generalized inequalities of Bhagwat and Subramanian and some converse results, (with J.E. Pecaric), Indian Journal of Mathematics, 37 (1995), 123-128.
  203. Inequalities for semi-convex matrix functions II (with J.E. Pecaric), Riaza, Journal of the Karachi Mathematical Association, to appear.
  204. On matrix convexity of the Moore-Penrose inverse (with J.E. Pecaric), International Journal of Mathematics and Mathematical Sciences, 19 (1996), 707-710.
  205. Some matrix inequalities of London type (with J.E. Pecaric), Acta Univ. Palackianae Olomucensis, to appear.
  206. Generalized power means for matrix functions II (with J.E. Pecaric), Publ. Math. Debrecen, 48 (1996), 201-208.
  207. On some reverse mean inequalities (with J.E. Pecaric and I. Peric), Journal of Mathematical Analysis and Applications, 203 (1996), 381-387.
  208. Inequalities of Polya type for positive linear operators (with J.E. Pecaric, J. Sunde and S. Varosanec), Houston Journal of Mathematics, 22 (1996), 851-858.
  209. Applications of spectral theory to inequalities in Hilbert space (with J.E. Pecaric), Rad HAZU, Vol. 13, (1997), 55-67..
  210. Artin's theorem and related results (with C.J. Eliezer and J.E. Pecaric), Bulletin Technical University of Timisoara, 40 (1995), 49-54.
  211. Bounds for the differences of matrix means (with M. Alic, J. Pecaric and V. Volenec), SIAM Journal of Matrix Analysis, 18 (1997), 119-123.
  212. Second order B-invexity and duality in Mathematical Programming (with J. Zhang), Utilitas Mathematica, 50 (1996), 19-31.
  213. A short proof of alternative divergence criteria (with J.E. Pecaric), Octogon Math. magazine, 3 (2) (1995), 14-15.
  214. Polya's inequality for positive linear operators (with J.E. Pecaric, J. Sunde and S. Varosanec), Rad Hazu, Vol. 13, (1997), 101-106.
  215. On a superadditivity property of Gram's determinant (with S.S. Dragomir and Zs. Pales), Aequationes Mathematicae, Vol. 54, (1997), 199-204.
  216. Duality for a non-differentiable programming problem, (with J. Zhang), Bulletin of the Australian Mathematical Society, 55 (1997), 29-44.
  217. Nonlinear programming with strong pseudo-invex constraints (with J. Zhang), OPSEARCH, 33 (1996), 135-144.
  218. Some new inequalities for Gram determinants in inner product spaces (with S.S. Dragomir), Univ. Beograd. Publ. Electrotehn. Fak., Ser. Math. 6 (1995), 38-45.
  219. The arithmetic-geometric-harmonic means and related matrix inequalities (with M. Alic, J. Pecaric and V. Volenec), Linear Algebra and Applications, 264 (1997), 55-62.
  220. On the superadditivity and monotonicity of Schwarz's inequality in inner product spaces (with S.S. Dragomir), Journal of the Macedonian Academy of Sciences and Arts, Section of Mathematical and Technical Services, XV 2 (1994), 5-22.
  221. Mixed means inequalities for positive linear operators (with J.E. Pecaric), Austral. Math. Soc. Gazette, 23 (1996), 198-200.
  222. Second order duality for multiobjective non-linear programming involving generalized convexity (with J. Zhang), in Proceedings of the Optimization Miniconference III, B.M. Glover, B.D. Craven and D. Ralph, editors, University of Ballarat, 1997, 79-95.
  223. Inequalities for exponential functions and means (with M. Alic, J. Pecaric and V. Volenec), Nieuw Archief voor Wiskunde, 14 (1996), 343-348.
  224. Duality for a class of nondifferentiable fractional programming problems (with J. Zhang), International Journal of Management and Systems, Vol. 14, (1998), 71-99.
  225. Matrix inequalities for convex functions (with J.E. Pecaric), Journal of Mathematical Analysis and Applications, 209 (1997), 147-153.
  226. Higher order duality and matrix game equivalence (with J. Zhang), Journal of Information and Optimization Sciences, Vol. 19, (1998), 87-96.
  227. Operator versions of some classical inequalities (with J. Pecaric, J. Sunde and S. Varosanec), Lin. Alg. Appl., 264 (1997), 117-126.
  228. Higher order invexity and duality in Mathematical Programming (with J. Zhang), Proceedings of the 5th International Symposium on Generalized Convexity, Generalized Monotonicity: Recent Results, J.P. Crouzeix et.al. (eds), Kluwer Academic Publishers, 1998, 357-372.
  229. Sharpening Jensen's inequality and a majorization theorem (with S. Abramovich and J. Pecaric), JMAA, Vol. 214, (1997), 721-728.
  230. Inequalities for the Hadamard product of matrices (with J.E. Pecaric), SIAM Journal of Matrix Analysis and Applications, Vol. 19, (1998), 66-70.
  231. On a property of Gram's determinant (with S.S. Dragomir), Extracta Mathematicae, 11 (1996), 282-287.
  232. A companion to Fink's inequality (with J.E. Pecaric), Octogon, Vol. 5, (1997), 17-18.
  233. The logarithmic mean is a mean (with C.E.M. Pearce and J. Pecaric), Mathematical Communications, Vol. 2, (1997), 35-39.
  234. Integral inequalities of Hadamard type for log-convex functions, (with S.S. Dragomir), Demonstratio Mathematica, Vol. 31, (1998), 355-364.
  235. Some mappings associated with Cebysev's inequality for sequences of real numbers (with S.S. Dragomir), Bulletin of the Allahabad Mathematical Society, Vol. 8-9 (1993-94), 37-55 (published June 1997).
  236. On Hadamard's inequality for a class of functions of Godunova and Levin (with S.S. Dragomir), Indian Journal of Mathematics, Vol. 39 (1997), 1-9.
  237. On Schwarz's inequality in Hilbert space (with J.E. Pecaric), Mathematica Balkanica, New Series Vol. 11 (1997), 269-274.
  238. Applications of spectral theorey to operator inequalities in Hilbert space (with J.E. Pecaric), Contributions, Sec. Math. Tech. Sci., MANU 17 (1996), 31-46.
  239. Operator convex functions of several variables (with J.E. Pecaric), Soochow Journal of Mathematics, Vol. 24 (1998), 239-254.
  240. Fractional Programming with invexity (with B.D. Craven), in Progress in Optimization: Contributions from Australasia, A. Eberhard, R. Hill, D. Ralph and B.M. Glover, editors, Kluwer Academic Publishers, 1999, 79-89.
  241. On a question of F. Kubo (with J.E. Pecaric), Soochow Journal of Mathematics, Vol. 25 (1999), 181-183.
  242. Hadamard products and generalized inverses (with J.E. Pecaric), Australian Mathematical Society Gazette, Vol. 25 (1998), 194-197.
  243. On the Boas-Bellman generalization of Bessel's inequality in inner product spaces (with S.S. Dragomir), Ital. J. Pure Appl. Math., No. 3 (1998) 29-35.
  244. On inequalities involving the Hadamard product of matrices, ELA - The Electronic Journal of Linear Algebra, Vol. 6 (1999/2000), 56-61.
  245. Inequalities for exponential functions and means, II, Nieuw Archief voor Wiskunde, Vol. 5/1 (2000), 57-58.
  246. A refinement of Jensen's discrete inequality for log-convex mappings and applications (with S.S. Dragomir), Bull. Allahabad Math. Soc., 10/11 (1995/96), 37-67.
  247. What is Mond-Weir duality?, in, Recent Developments in Operational Research, Manju Lata Agarwal and Kanwar Sen (eds.), Narosa Publishing House, New Delhi India, 2001, 297-303.
  248. On some applications of the AG inequality in information theory, (with J. Pecaric), Journal of Inequalities in Pure and Applied Mathematics, Vol. 2(1), Art. 11, 2001.
  249. Some inequalities of Aczel type for Gramians in inner product spaces (with S.S. Dragomir), Nonlinear Functional Analysis and Applications, Vol. 6, No. 3 (2001), 411-424.
  250. On converse duality and invexity (with B.D. Craven), Indian Journal of Mathematics, Vol. 42, No. 3 Dec. 2000, 267-272.
  251. Some Determinantal Inequalities, (with J. Pecaric and B. Tepes), Australian mathematical Society Gazette, 30 (2003), 212-217.
  252. Some Determinantal Inequalities, (with J. Pecaric and B. Tepes), Mathematical Inequalities and Applications, 8 (2005), 331-336.
  253. On reverse integral mean inequalities (with J. Pecaric and I. Peric), Houston Journal of Mathematics, 32 (2006), 167-181.
  254. Inequalities for exponential functions and means, II (with J. Pecaric), Nieuw Archief voor Wiskunde, Vol. 5/1 (2000), 57-58.
  255. Counterparts of Schwarz's inequality for Cebeysev functional (with J. Pecaric and B. Tepes), Journal of Applied Functional Analysis, Vol. 1, 57-66, 2006.

 

 

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