Convex Functions
Convex Functions
Academic Press
Published on 8. February 1974
299 pages
978-0-08-087372-5 (ISBN)
Description
Convex Functions
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Arthur Wayne Roberts | Dale Varberg
Convex Functions
Book
01/1973
Academic Press
€63.76
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Content
- Front Cover
- Convex Functions
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Introduction
- List of Notation
- Chapter I. Convex Functions on the Real Line
- 10. Introduction
- 11. Continuity and Differentiability
- 12. Characterizations
- 13. Closure under Functional Operations
- 14. Differences of Convex Functions
- 15. Conjugate Convex Functions
- Chapter II. Normed Linear Spaces
- 20. Introduction
- 21. Normed Linear Spaces
- 22. Functions on Normed Linear Spaces
- 23. Derivatives in a Normed Linear Space
- Chapter III. Convex Sets
- 30. Introduction
- 31. Convex Sets and Affine Sets
- 32. Hyperplanes and Extreme Points
- Chapter IV. Convex Functions on a Normed Linear Space
- 40. Introduction
- 41. Continuity of Convex Functions
- 42. Differentiable Convex Functions
- 43. The Support of Convex Functions
- 44. Differentiability of Convex Functions
- Chapter V. Optimization
- 50. Introduction
- 51. Maxima and Minima
- 52. Minimax Theorems and the Theory of Games
- 53. Linear Programming
- 54. The Simplex Method
- 55. Convex Programming
- 56. Approximation
- Chapter VI. Inequalities
- 60. Introduction
- 61. The Classical Inequalities
- 62. The Generalized Geometric Mean-Arithmetic Mean Inequality and Norms
- 63. Matrix Inequalities
- Chapter VII. Midconvex Functions
- 70. Introduction
- 71. Midconvex Functions on a Normed Linear Space
- 72. Midconvex Functions on R
- Chapter VIII. Related Classes of Functions
- 80. Introduction
- 81. Quasiconvex Functions
- 82. Completely Convex Functions
- 83. Convex Functions of Higher Order
- 84. Generalized Convex Functions
- 85. More about Generalized Convex Functions
- 86. Other Related Topics
- Appendix
- Introduction
- Independent Study Projects
- Unsolved Problems
- Bibliography
- Author Index
- Subject Index
