Convex functions, partial orderings, and statistical applications /
Pečarić, Josip E.
Convex functions, partial orderings, and statistical applications / Josip E. Pečarić, Frank Proschan, Y.L. Tong. - Boston : Academic Press, ©1992. - 1 online resource (xiii, 469 pages). - Mathematics in science and engineering ; v. 187 . - Mathematics in science and engineering ; v. 187. .
Includes bibliographical references (pages 419-456) and indexes.
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.
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.
9780080925226 (electronic bk.) 0080925227 (electronic bk.) 1282034723 9781282034723 (acid-free paper)
86781:86781 Elsevier Science & Technology http://www.sciencedirect.com
GBB739782 bnb
017593327 Uk
Convex functions.
Inequalities (Mathematics)
Fonctions convexes.
Inégalités (Mathématiques)
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
Convex functions.
Inequalities (Mathematics)
Konvexe Funktion
Ungleichung
Convexe functies.
Ongelijkheden.
Fonctions convexes.
Inégalités (Mathématiques)
Topological spaces
Electronic books.
Electronic books.
QA331.5 / .P43 1992eb
515/.223
Convex functions, partial orderings, and statistical applications / Josip E. Pečarić, Frank Proschan, Y.L. Tong. - Boston : Academic Press, ©1992. - 1 online resource (xiii, 469 pages). - Mathematics in science and engineering ; v. 187 . - Mathematics in science and engineering ; v. 187. .
Includes bibliographical references (pages 419-456) and indexes.
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.
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.
9780080925226 (electronic bk.) 0080925227 (electronic bk.) 1282034723 9781282034723 (acid-free paper)
86781:86781 Elsevier Science & Technology http://www.sciencedirect.com
GBB739782 bnb
017593327 Uk
Convex functions.
Inequalities (Mathematics)
Fonctions convexes.
Inégalités (Mathématiques)
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
Convex functions.
Inequalities (Mathematics)
Konvexe Funktion
Ungleichung
Convexe functies.
Ongelijkheden.
Fonctions convexes.
Inégalités (Mathématiques)
Topological spaces
Electronic books.
Electronic books.
QA331.5 / .P43 1992eb
515/.223