Book Cover
Author Pečarić, Josip E.

Title Convex functions, partial orderings, and statistical applications / Josip E. Pečarić, Frank Proschan, Y.L. Tong
Published Boston : Academic Press, [1992]
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Description 1 online resource (xiii, 469 pages)
Series Mathematics in science and engineering ; v. 187
Mathematics in science and engineering ; v. 187
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.
Inequalities (Mathematics)
Form Electronic book
Author Proschan, Frank, 1921-
Tong, Y. L. (Yung Liang), 1935-
ISBN 0080925227 (electronic bk.)
9780080925226 (electronic bk.)
(acid-free paper)