Functions generating \((m,M,\Psi)\)-Schur-convex sums
type: Item
instance of: scholarly article
title: Functions generating \((m,M,\Psi)\)-Schur-convex sums
zbMATH Open document ID: 1411.26010
author: Kazimierz Nikodem
author: Silvestru Sever Dragomir
published in: Aequationes Mathematicae
publication date: 2019-03-13T00:00:00Z
review text: This paper presents a new notion of $(m,M,\Psi)$- Schur-convex functions. The necessary and sufficient conditions for a function $f$ to generate $(m,M,\Psi)$-Schur-convex sums are derived, proved and discussed. By using this new concept, a counterpart of the classical Hardy-Littlewood-Polya majorization theorem was proved. Furthermore, a counterpart of the result of Ng stating that a function generates $(m,M,\Psi)$-Schur-convex sums if and only if it is $(m,M,\Psi)$-Wright-convex is proved and a characterization of $(m,M,\Psi)$-Wright-convex functions is given.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 39B62
zbMATH DE Number: 7035773
zbMATH Keywords: strongly convex functions
zbMATH Keywords: \((m, M, \psi)\)-convex (Jensen-convex, Wright-convex) functions
zbMATH Keywords: \((m,M,\Psi)\)-Schur-convexity
MaRDI profile type: Publication
full work available at URL: s00010-018-0569-0
OpenAlex ID: W2806879104
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DOI: 10.1007/S00010-018-0569-0
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description: scientific article; zbMATH DE number 7035773