Description |
1 online resource (xiii, 469 pages). |
Physical Medium |
polychrome |
Description |
text file |
Series |
Mathematics in science and engineering ; v. 187
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Mathematics in science and engineering ; v. 187.
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Bibliography |
Includes bibliographical references (pages 419-456) and indexes. |
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. |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Convex functions.
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Convex functions. |
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Inequalities (Mathematics)
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Inequalities (Mathematics) |
Indexed Term |
Topological spaces |
Genre/Form |
Electronic books.
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Added Author |
Proschan, Frank, 1921-
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Tong, Y. L. (Yung Liang), 1935-
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Other Form: |
Print version: Pečarić, J.E. Convex functions, partial orderings, and statistical applications. Boston : Academic Press, ©1992 0125492502 9780125492508 (DLC) 91034153 (OCoLC)24467213 |
ISBN |
9780080925226 (electronic book) |
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0080925227 (electronic book) |
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1282034723 |
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9781282034723 |
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0125492502 (acid-free paper) |
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9780125492508 |
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