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Convex functions, partial orderings, and statistical applications /

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 applie...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pečarić, Josip E.
Otros Autores: Proschan, Frank, 1921-, Tong, Y. L. (Yung Liang), 1935-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, ©1992.
Colección:Mathematics in science and engineering ; v. 187.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Convex functions, partial orderings, and statistical applications /  |c Josip E. Pečarić, Frank Proschan, Y.L. Tong. 
260 |a Boston :  |b Academic Press,  |c ©1992. 
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520 |a 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. 
505 0 |a 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. 
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