Web1 dec. 2013 · Uhlmann’s theorem can be used to study the role of majorization in quantum mechanics. Here we first consider the properties of the Shannon entropies of two probability distributions which obey majorization. Then we give a generalization of Uhlmann’s theorem for infinite dimensional Hilbert spaces. WebWe give generalization of majorization theorem for the class of n -convex functions by using Taylor’s formula and Green function. We use inequalities for the Čebyšev …
Multivariate Lorenz majorization - JSTOR
WebKeywords: Kapur’s entropy; Shannon type inequality; Schur m-convexity; majorization MSC: 26A51; 26D15; 26E60; 94A17 1. Introduction and Main Results Let p = (p1, p2,. . ., pn) be a probability vector, that is, pi 0 for 1 i n and ... Our main results are the following two theorems. Theorem 2. WebDownload or read book Group Majorization Methods written by Olga Moreira and published by Arcler Press. This book was released on 2024-12 with total ... and Lie groups. Part I, chapters 1 to 10 feature the following research topics: Generalization of the weighted majorization theorem; Extensions of majorization inqualities to convex and ... jeong guk jeon how old
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Webdocumentation Optimal approaches using the “big theorems” Algorithms for estimation, detection, and spectral estimation Complete case studies: Radar Doppler center frequency. 3 ... and majorization-minimization – that help you to meet the more and more stressing sensing system requirements. Web16 jun. 2015 · The aim of this paper is to present a new generalization of weighted majorization theorem for n-convex functions, by using generalization of Taylor’s … Webmajorization (Marshall and Olkin [ 17, p. 1081). For showing that one vector is r-majorized by another vector or for proving results, other defini- tions equivalent to Definition 2.1 are useful. These are contained in the theorem below and the proof is given after Theorem 2.4. jeong-hee ku m.d