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 JensenSteffensen's Inequalities. Reversals, Refinements, and Converses of Jensen's and JensenSteffensen's Inequalities. Applications of Jensen's Inequality to Means and H*adolder's Inequalities. HermiteHadamard's and JensenPetrovi*aac's Inequalities. Popoviciu's, Burkill's, and Steffensen's Inequalities. *ajCeby*ajsevGr*aduss', Favard's, Berwald's, GaussWinckler'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 ConvexityPreserving Transformations. Convex Functions and Geometric Inequalities. Convexity, Majorization, and SchurConvexity. Convexity and LogConcavity 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 researchlevel book presents uptodate 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 419456) 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.) 

1282034723 

9780080925226 (electronic bk.) 

9781282034723 

(acidfree paper) 
