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| CONVEX FUNCTIONS, PARTIAL ORDERINGS, AND STATISTICAL APPLICATIONS
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By
Josip Peajcariaac, University of Zagreb
Y. Tong, Georgia Institute of Technology
Included in series
Mathematics in Science and Engineering,
Description
This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and
some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical
theory and theoretical and applied reliabilists.
Audience
Research-level mathematicians, statisticians, and engineers, as well as second-year graduate students in these areas.
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.
| Bibliographic details |
Hardbound, 467 pages, publication date: APR-1992
ISBN-13: 978-0-12-549250-8
ISBN-10: 0-12-549250-2
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 128
GBP 82
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Last update: 4 Sep 2009
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