Author(s): Josip E. Pečarić, Frank Proschan and Y.L. Tong (Eds.)
Series: Mathematics in Science and Engineering 187
Publisher: Elsevier, Academic Press
Year: 1992
Language: English
Pages: iii-xiii, 1-467
Content:
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages xi-xii
J.E.P., F.P., Y.L.T.
Notation and Numbering System
Page xiii
Chapter 1 Convex Functions
Pages 1-42
Chapter 2 Jensen's and Jensen—Steffensen's Inequalities
Pages 43-82
Chapter 3 Reversals, Refinements, and Converses of Jensen's and Jensen—Steffensen's Inequalities
Pages 83-105
Chapter 4 Applications of Jensen's Inequality to Means and Hölder's Inequalities
Pages 107-135
Chapter 5 Hermite—Hadamard's and Jensen—Petrović's Inequalities
Pages 137-169
Chapter 6 Popoviciu's, Burkill's, and Steffensen's Inequalities
Pages 171-195
Chapter 7 Čebyšev—Grüss', Favard's, Berwald's, Gauss—Winckler's, and Related Inequalities
Pages 197-228
Chapter 8 Hardy's, Hilbert's, Opial's, Young's, Nanson's, and Related Inequalities
Pages 229-251
Chapter 9 General Linear Inequalities for Convex Sequences and Functions
Pages 253-276
Chapter 10 Orderings and Convexity-Preserving Transformations
Pages 277-305
Chapter 11 Convex Functions and Geometric Inequalities
Pages 307-317
Chapter 12 Convexity, Majorization, and Schur-Convexity
Pages 319-338
Chapter 13 Convexity and Log-Concavity Related Moment and Probability Inequalities
Pages 339-359
Chapter 14 Muirhead's Theorem and Related Inequalities
Pages 361-374
Chapter 15 Arrangement Ordering
Pages 375-389
Chapter 16 Applications of Arrangement Ordering
Pages 391-405
Chapter 17 Multivariate Arrangement Increasing Functions
Pages 407-418
References Review Article
Pages 419-456
Author Index
Pages 457-462
Subject Index
Pages 463-467
