TY - BOOK AU - Pečarić,Josip E. AU - Proschan,Frank AU - Tong,Y.L. TI - Convex functions, partial orderings, and statistical applications T2 - Mathematics in science and engineering SN - 9780080925226 AV - QA331.5 .P43 1992eb U1 - 515/.223 22 PY - 1992/// CY - Boston PB - Academic Press KW - Convex functions KW - Inequalities (Mathematics) KW - Fonctions convexes KW - Inégalités (Mathématiques) KW - MATHEMATICS KW - Calculus KW - bisacsh KW - Mathematical Analysis KW - fast KW - Konvexe Funktion KW - gnd KW - Ungleichung KW - Convexe functies KW - gtt KW - Ongelijkheden KW - ram KW - Topological spaces KW - Electronic books N1 - 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 N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=272250 ER -