Description |
1 online resource (xiii, 469 pages) |
Series |
Mathematics in science and engineering ; v. 187 |
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Mathematics in science and engineering ; v. 187.
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Contents |
Convex Functions. Jensen's and Jensen-Steffensen's Inequalities. Reversals, Refinements, and Converses of Jensen's and Jensen-Steffensen's Inequalities. Applications of Jensen's Inequality to Means and H*adolder's Inequalities. Hermite-Hadamard's and Jensen-Petrovi*aac's Inequalities. Popoviciu's, Burkill's, and Steffensen's Inequalities. *ajCeby*ajsev-Gr*aduss', Favard's, Berwald's, Gauss-Winckler's, and Related Inequalities. Hardy's, Hilbert's, Opial's, Young's, Nanson's, and Related Inequalities. General Linear Inequalities for Convex Sequences and Functions. Orderings and Convexity-Preserving Transformations. Convex Functions and Geometric Inequalities. Convexity, Majorization, and Schur-Convexity. Convexity and Log-Concavity Related Moment and Probability Inequalities. Muirhead's Theorem and Related Inequalities. Arrangement Ordering. Applications of Arrangement Ordering. Multivariate Arrangement Increasing Functions. References. Author Index. Subject Index |
Summary |
This research-level book presents up-to-date information concerning recent developments in convex functions and partial ordering and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists |
Analysis |
Topological spaces |
Bibliography |
Includes bibliographical references (pages 419-456) and indexes |
Notes |
Print version record |
Subject |
Convex functions.
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Inequalities (Mathematics)
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Convex functions
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Inequalities (Mathematics)
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Konvexe Funktion
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Ungleichung
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Convexe functies.
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Ongelijkheden.
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Fonctions convexes.
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Inégalités (Mathématiques)
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Form |
Electronic book
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Author |
Proschan, Frank, 1921-
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Tong, Y. L. (Yung Liang), 1935-
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ISBN |
9780080925226 |
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0080925227 |
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1282034723 |
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9781282034723 |
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