Accession Number : AD0604251

Title :   AN INEQUALITY FOR CONVEX FUNCTIONS INVOLVING MAJORIZATION.

Descriptive Note : Mathematical note,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : Marshall,Albert W. ; Proschan,Frank

Report Date : JUL 1964

Pagination or Media Count : 8

Abstract : A simple inequality involving expectations of convex functions and the notion of majorization is derived. Although the result is easily obtained, it yields as special cases Karamata's Inequality, Muirhead's Theorem, and several new theorems. (Author)

Descriptors :   (*INEQUALITIES, FUNCTIONS(MATHEMATICS)), (*FUNCTIONS(MATHEMATICS), INEQUALITIES), THEOREMS, NUMERICAL METHODS AND PROCEDURES

Distribution Statement : APPROVED FOR PUBLIC RELEASE