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Articles in Scholarly Journals [Incomplete List]

1. The evaluation of character Euler double sums
   The Ramanujan Journal, vol. 15, no. 3, pp. 377–405, 2008
2. The evaluation of Bessel functions via exp-arc integrals
   Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 478–500, 2008
3. Second Order Cones for Maximal Monotone Operators via Representative Functions
   Set-Valued Analysis, 2008
4. On the dynamics of certain recurrence relations
   The Ramanujan Journal, vol. 13, no. 1-3, pp. 63–101, 2007
5. Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative
   Nonlinear Analysis, vol. 66, no. 5, pp. 1198–1223, 2007
6. Box integrals
   Journal of Computational and Applied Mathematics, vol. 206, no. 1, pp. 196–208, 2007
7. Integer Powers of Arcsin
   International Journal of Mathematics and Mathematical Sciences, vol. 2007, Article ID 19381, 10 pages, 2007
8. Proceedings of the American Mathematical Society, vol. 134, no. 10, pp. 2951–2956, 2006
9. Integrals of the Ising class
   Journal of Physics A: Mathematical and General, vol. 39, no. 40, pp. 12271–12302, 2006
10. International Journal of Number Theory, vol. 2, no. 1, p. 65, 2006
11. Parametric Euler sum identities
    Journal of Mathematical Analysis and Applications, vol. 316, no. 1, pp. 328–338, 2006
12. Variational Methods in Convex Analysis
    Journal of Global Optimization, vol. 35, no. 2, pp. 197–213, 2006
13. The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof
    International Journal of Computers for Mathematical Learning, vol. 10, no. 2, pp. 75–108, 2005
14. Evaluations of binomial series
    Aequationes mathematicae, vol. 70, no. 1-2, pp. 25–36, 2005
15. Dynamics of a continued fraction of Ramanujan with random coefficients
    Abstract and Applied Analysis, vol. 2005, no. 5, pp. 449–467, 2005
16. Constructible Convex Sets
    Set-Valued Analysis, vol. 12, no. 1/2, pp. 61–77, 2004
17. A One Perturbation Variational Principle and Applications
    Set-Valued Analysis, vol. 12, no. 1/2, pp. 49–60, 2004
18. Proceedings of the American Mathematical Society, vol. 132, no. 04, pp. 1067–1077, 2004
19. Journal of Mathematical Sciences, vol. 115, no. 4, pp. 2542–2553, 2003
20. The Ramanujan Journal, vol. 7, no. 1/3, pp. 95–127, 2003
21. Proceedings of the American Mathematical Society, vol. 131, no. 04, pp. 1109–1114, 2003
22. Proceedings of the American Mathematical Society, vol. 131, no. 08, pp. 2553–2561, 2003
23. Set-Valued Analysis, vol. 11, no. 1, pp. 37–67, 2003
24. Bregman Monotone Optimization Algorithms
    SIAM Journal on Control and Optimization, vol. 42, no. 2, p. 596, 2003
25. Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy
    SIAM Journal on Optimization, vol. 14, no. 2, p. 464, 2003
26. Proceedings of the American Mathematical Society, vol. 130, no. 06, pp. 1797–1804, 2002
27. The Ramanujan Journal, vol. 6, no. 2, pp. 189–208, 2002
28. A survey of subdifferential calculus with applications [Nonlinear Anal. TMA 38 (1999) 687–773]
    Nonlinear Analysis, vol. 49, no. 2, pp. 295–296, 2002
29. The range of the gradient of a LipschitzC 1-smooth bump in infinite dimensions
    Israel Journal of Mathematics, vol. 132, no. 1, pp. 239–251, 2002
30. Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions
    Nonlinear Analysis, vol. 48, no. 2, pp. 287–301, 2002
31. Antiproximinal Norms in Banach Spaces,
    Journal of Approximation Theory, vol. 114, no. 1, pp. 57–69, 2002
32. Duality inequalities and sandwiched functions
    Nonlinear Analysis, vol. 46, no. 3, pp. 365–380, 2001
33. Set-Valued Analysis, vol. 9, no. 1/2, pp. 35–47, 2001
34. The Ramanujan Journal, vol. 5, no. 1, pp. 73–89, 2001
35. Challenges in mathematical computing
    Computing in Science & Engineering, vol. 3, no. 3, pp. 48–53, 2001
36. Transactions of the American Mathematical Society, vol. 353, no. 03, pp. 907–942, 2001
37. Transactions of the American Mathematical Society, vol. 353, no. 10, pp. 3875–3894, 2001
38. Communications in Contemporary Mathematics, vol. 3, no. 4, p. 615, 2001
39. Proceedings of the American Mathematical Society, vol. 128, no. 01, pp. 215–222, 2000
40. Applications of integer relation algorithms
    Discrete Mathematics, vol. 217, no. 1-3, pp. 65–82, 2000
41. Computational strategies for the Riemann zeta function
    Journal of Computational and Applied Mathematics, vol. 121, no. 1-2, pp. 247–296, 2000
42. Proceedings of the American Mathematical Society, vol. 128, no. 11, pp. 3221–3230, 2000
43. A convex dual approach to the computation of NMR complex spectra
    Mathematical Methods of Operations Research (ZOR), vol. 51, no. 1, pp. 91–102, 2000
44. Surprise Maximization
    The American Mathematical Monthly, vol. 107, no. 6, p. 517, 2000
45. Emerging Tools for Experimental Mathematics
    The American Mathematical Monthly, vol. 106, no. 10, p. 889, 1999
46. On the Equivalence of Some Basic Principles in Variational Analysis
    Journal of Mathematical Analysis and Applications, vol. 229, no. 1, pp. 228–257, 1999
47. Partially smooth variational principles and applications
    Nonlinear Analysis, vol. 35, no. 8, pp. 1031–1059, 1999
48. A survey of subdifferential calculus with applications
    Nonlinear Analysis, vol. 38, no. 6, pp. 687–773, 1999
49. Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization
    Mathematical Programming, vol. 86, no. 1, pp. 135–160, 1999
50. Computation and stability analysis for regularized tomographic reconstructions
    IEEE Transactions on Nuclear Science, vol. 46, no. 6, pp. 2177–2184, 1999
51. A Chain Rule for Essentially Smooth Lipschitz Functions
    SIAM Journal on Optimization, vol. 8, no. 2, p. 300, 1998
52. Transactions of the American Mathematical Society, vol. 350, no. 08, pp. 3131–3168, 1998
53. Null Sets and Essentially Smooth Lipschitz Functions
    SIAM Journal on Optimization, vol. 8, no. 2, p. 309, 1998
54. The Converse of the Mean Value Theorem May Fail Generically
    The American Mathematical Monthly, vol. 105, no. 9, p. 847, 1998
55. Transactions of the American Mathematical Society, vol. 350, no. 06, pp. 2409–2430, 1998
56. A nonconvex separation property in Banach spaces
    Mathematical Methods of Operations Research (ZOR), vol. 48, no. 2, pp. 169–179, 1998
57. The stability analysis of dynamic SPECT systems
    Numerische Mathematik, vol. 77, no. 3, pp. 283–298, 1997
58. Variational analysis in nonreflexive spaces and applications to control problems with perturbations
    Nonlinear Analysis, vol. 28, no. 5, pp. 889–915, 1997
59. Lipschitz functions with prescribed derivatives and subderivatives
    Nonlinear Analysis, vol. 29, no. 1, pp. 53–63, 1997
60. Essentially Smooth Lipschitz Functions
    Journal of Functional Analysis, vol. 149, no. 2, pp. 305–351, 1997
61. Mathematics of Computation of the American Mathematical Society, vol. 66, no. 217, pp. 417–432, 1997
62. Proceedings of the American Mathematical Society, vol. 125, no. 03, pp. 807–814, 1997
63. Proceedings of the American Mathematical Society, vol. 124, no. 03, pp. 751–756, 1996
64. Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity
    SIAM Journal on Control and Optimization, vol. 34, no. 5, p. 1568, 1996
65. On Projection Algorithms for Solving Convex Feasibility Problems
    SIAM Review, vol. 38, no. 3, p. 367, 1996
66. Transactions of the American Mathematical Society, vol. 348, no. 04, pp. 1617–1632, 1996
67. Approximate subgradients and coderivatives in R n
    Set-Valued Analysis, vol. 4, no. 4, pp. 375–398, 1996
68. Proximal analysis in smooth spaces
    Set-Valued Analysis, vol. 4, no. 1, pp. 1–24, 1996
69. Giuga's Conjecture on Primality
    The American Mathematical Monthly, vol. 103, no. 1, p. 40, 1996
70. On an Intriguing Integral and Some Series Related to ζ(4)
    Proceedings of the American Mathematical Society, vol. 123, no. 4, p. 1191, 1995
71. Convergence of Lipschitz Regularizations of Convex Functions
    Journal of Functional Analysis, vol. 128, no. 1, pp. 139–162, 1995
72. Maximum entropy reconstruction using derivative information part 2: computational results
    Numerische Mathematik, vol. 69, no. 3, pp. 243–256, 1995
73. Direct reconstruction of functional parameters for dynamic SPECT
    IEEE Transactions on Nuclear Science, vol. 42, no. 4, pp. 1249–1256, 1995
74. Fast heuristic methods for function reconstruction using derivative information
    Applicable Analysis, vol. 58, no. 3, pp. 241–261, 1995
75. SIAM Journal on Optimization, vol. 5, no. 1, Article ID 0805004, 1995
76. SIAM Journal on Optimization, vol. 4, no. 1, Article ID 0804008, 1994
77. Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels
    Journal of Functional Analysis, vol. 123, no. 2, pp. 264–307, 1994
78. Further arguments for slice convergence in nonreflexive spaces
    Set-Valued Analysis, vol. 2, no. 4, pp. 529–544, 1994
79. A Note on Regularity of Sets and of Distance Functions in Banach Space
    Journal of Mathematical Analysis and Applications, vol. 182, no. 2, pp. 566–570, 1994
80. On Some Trigonometric and Exponential Lattice Sums
    Journal of Mathematical Analysis and Applications, vol. 188, no. 1, pp. 209–218, 1994
81. Dykstra′s Alternating Projection Algorithm for Two Sets
    Journal of Approximation Theory, vol. 79, no. 3, pp. 418–443, 1994
82. Entropy Minimization with Lattice Bounds
    Journal of Approximation Theory, vol. 79, no. 1, pp. 1–16, 1994
83. Uniform convergence for moment problems with Fermi-Dirac type entropies
    ZOR Zeitschrift f�r Operations Research Mathematical Methods of Operations Research, vol. 40, no. 3, pp. 239–252, 1994
84. Second Order Differentiability of Convex Functions in Banach Spaces
    Transactions of the American Mathematical Society, vol. 342, no. 1, p. 43, 1994
85. Some Cubic Modular Identities of Ramanujan
    Transactions of the American Mathematical Society, vol. 343, no. 1, p. 35, 1994
86. Super Efficiency in Vector Optimization
    Transactions of the American Mathematical Society, vol. 338, no. 1, p. 105, 1993
87. Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
    Set-Valued Analysis, vol. 1, no. 4, pp. 355–363, 1993
88. On the Generating Function of the Integer Part: [nα + γ]
    Journal of Number Theory, vol. 43, no. 3, pp. 293–318, 1993
89. Mosco and Slice Convergence of Level Sets and Graphs of Linear Functionals
    Journal of Mathematical Analysis and Applications, vol. 175, no. 1, pp. 53–67, 1993
90. Class number three Ramanujan type series for 1/π
    Journal of Computational and Applied Mathematics, vol. 46, no. 1-2, pp. 281–290, 1993
91. On the convergence of von Neumann's alternating projection algorithm for two sets
    Set-Valued Analysis, vol. 1, no. 2, pp. 185–212, 1993
92. Hypergeometric analogues of the arithmetic-geometric mean iteration
    Constructive Approximation, vol. 9, no. 4, pp. 509–523, 1993
93. Inequalities for Compound Mean Iterations with Logarithmic Asymptotes
    Journal of Mathematical Analysis and Applications, vol. 177, no. 2, pp. 572–582, 1993
94. On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems
    Mathematical Programming, vol. 61, no. 1-3, pp. 251–261, 1993
95. On generic second-order gateaux differentiability
    Nonlinear Analysis, vol. 20, no. 12, pp. 1373–1382, 1993
96. SIAM Journal on Optimization, vol. 3, no. 2, Article ID 0803012, 1993
97. Strange Series and High Precision Fraud
    The American Mathematical Monthly, vol. 99, no. 7, p. 622, 1992
98. Partially finite convex programming, Part I: Quasi relative interiors and duality theory
    Mathematical Programming, vol. 57, no. 1-3, pp. 15–48, 1992
99. Partially finite convex programming, Part II: Explicit lattice models
    Mathematical Programming, vol. 57, no. 1-3, pp. 49–83, 1992
100. Asymptotics of a sequence of Witt vectors
     Journal of Approximation Theory, vol. 69, no. 3, pp. 326–337, 1992
101. Super efficiency in convex vector optimization
     ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, vol. 35, no. 3, pp. 175–184, 1991
102. Fixed point iterations for real functions
     Journal of Mathematical Analysis and Applications, vol. 157, no. 1, pp. 112–126, 1991
103. A Cubic Counterpart of Jacobi's Identity and the AGM
     Transactions of the American Mathematical Society, vol. 323, no. 2, p. 691, 1991
104. SIAM Journal on Optimization, vol. 1, no. 2, Article ID 0801014, 1991
105. On the Convergence of Moment Problems
     Transactions of the American Mathematical Society, vol. 325, no. 1, p. 249, 1991
106. Duality Relationships for Entropy-Like Minimization Problems
     SIAM Journal on Control and Optimization, vol. 29, no. 2, p. 325, 1991
107. Nested Radicals
     The American Mathematical Monthly, vol. 98, no. 8, p. 735, 1991
108. Mosco Convergence and Reflexivity
     Proceedings of the American Mathematical Society, vol. 109, no. 2, p. 427, 1990
109. Pi, Euler Numbers, and Asymptotic Expansions
     The American Mathematical Monthly, vol. 96, no. 8, p. 681, 1989
110. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
     The American Mathematical Monthly, vol. 96, no. 3, p. 201, 1989
111. Mosco Convergence and the Kadec Property
     Proceedings of the American Mathematical Society, vol. 106, no. 3, p. 843, 1989
112. On the Mean Iteration (a, b) ← � � a+3b 4 , √ab+b 2 � �
     Mathematics of Computation, vol. 53, no. 187, p. 311, 1989
113. Analysis of certain lattice sums1
     Journal of Mathematical Analysis and Applications, vol. 143, no. 1, pp. 126–137, 1989
114. The hypertangent cone
     Nonlinear Analysis, vol. 13, no. 2, pp. 125–144, 1989
115. Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
     Journal of Mathematical Analysis and Applications, vol. 134, no. 2, pp. 441–459, 1988
116. SIAM Journal on Control and Optimization, vol. 26, no. 4, Article ID 0326053, 1988
117. SIAM Review, vol. 30, no. 4, Article ID 1030134, 1988
118. Journal of Physics A: Mathematical and General, vol. 21, no. 7, pp. 1519–1531, 1988
119. A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
     Transactions of the American Mathematical Society, vol. 303, no. 2, p. 517, 1987
120. SIAM Journal on Control and Optimization, vol. 25, no. 5, Article ID 0325072, 1987
121. Epi-Lipschitz-like sets in Banach space: theorems and examples
     Nonlinear Analysis, vol. 11, no. 10, pp. 1207–1217, 1987
122. The differentiability of real functions on normed linear space using generalized subgradients*1
     Journal of Mathematical Analysis and Applications, vol. 128, no. 2, pp. 512–534, 1987
123. Automatic Continuity and Openness of Convex Relations
     Proceedings of the American Mathematical Society, vol. 99, no. 1, p. 49, 1987
124. The Proximal Normal Formula in Banach Space
     Transactions of the American Mathematical Society, vol. 302, no. 1, p. 371, 1987
125. A Note on Alternating Series in Several Dimensions
     The American Mathematical Monthly, vol. 93, no. 7, p. 531, 1986
126. On Fan's minimax theorem
     Mathematical Programming, vol. 34, no. 2, pp. 232–234, 1986
127. A simple constraint qualification in infinite dimensional programming
     Mathematical Programming, vol. 35, no. 1, pp. 83–96, 1986
128. An explicit cubic iteration for π
     BIT, vol. 26, no. 1, pp. 123–126, 1986
129. More Quadratically Converging Algorithms for π
     Mathematics of Computation, vol. 46, no. 173, p. 247, 1986
130. Convergence of lattice sums and Madelung’s constant
     Journal of Mathematical Physics, vol. 26, no. 11, p. 2999, 1985
131. Tangential approximations
     Nonlinear Analysis, vol. 9, no. 12, pp. 1347–1366, 1985
132. Some Modular Identities of Ramanujan useful in Approximating π
     Proceedings of the American Mathematical Society, vol. 95, no. 3, p. 365, 1985
133. On Supportless Convex Sets
     Proceedings of the American Mathematical Society, vol. 94, no. 3, p. 471, 1985
134. Generalized linear complementarity problems treated without fixed-point theory
     Journal of Optimization Theory and Applications, vol. 43, no. 3, pp. 343–356, 1984
135. Conjugate convex operators
     Journal of Mathematical Analysis and Applications, vol. 102, no. 2, pp. 399–414, 1984
136. Two kinds of normality in vector optimization
     Mathematical Programming, vol. 28, no. 2, pp. 185–191, 1984
137. SIAM Review, vol. 26, no. 3, Article ID 1026073, 1984
138. Completeness and the Contraction Principle
     Proceedings of the American Mathematical Society, vol. 87, no. 2, p. 246, 1983
139. A very rapidly convergent product expansion for π
     BIT, vol. 23, no. 4, pp. 538–540, 1983
140. A note on the existence of subgradients
     Mathematical Programming, vol. 24, no. 1, pp. 225–228, 1982
141. On the Hahn-Banach Extension Property
     Proceedings of the American Mathematical Society, vol. 86, no. 1, p. 42, 1982
142. Necessary and sufficient conditions for quadratic minimality
     Numerical Functional Analysis and Optimization, vol. 5, no. 2, pp. 127–140, 1982
143. Direct theorems in semi-infinite convex programming
     Mathematical Programming, vol. 21, no. 1, pp. 301–318, 1981
144. Regularizing the abstract convex program*1, *2
     Journal of Mathematical Analysis and Applications, vol. 83, no. 2, pp. 495–530, 1981
145. The limiting Lagrangian as a consequence of Helly's theorem
     Journal of Optimization Theory and Applications, vol. 33, no. 4, pp. 497–513, 1981
146. A strong duality theorem for the minimum of a family of convex programs
     Journal of Optimization Theory and Applications, vol. 31, no. 4, pp. 453–472, 1980
147. Lexicographic multipliers1
     Journal of Mathematical Analysis and Applications, vol. 78, no. 1, pp. 309–327, 1980
148. A note on perfect duality and limiting lagrangeans
     Mathematical Programming, vol. 18, no. 1, pp. 330–337, 1980
149. The Hausdorff metric and ebyev centres
     Journal of Approximation Theory, vol. 28, no. 4, pp. 366–376, 1980
150. SIAM Journal on Control and Optimization, vol. 16, no. 3, Article ID 0316034, 1978
151. On Strongly Exposing Functionals
     Proceedings of the American Mathematical Society, vol. 69, no. 1, p. 46, 1978
152. Tangent cones, starshape and convexity
     International Journal of Mathematics and Mathematical Sciences, vol. 1, no. 4, pp. 459–477, 1978
153. SIAM Journal on Control and Optimization, vol. 15, no. 1, Article ID 0315004, 1977
154. Multivalued convexity and optimization: A unified approach to inequality and equality constraints
     Mathematical Programming, vol. 13, no. 1, pp. 183–199, 1977
155. Fractional programming without differentiability
     Mathematical Programming, vol. 11, no. 1, pp. 283–290, 1976