Schur-convexity of averages of convex functions
type: Item
instance of: scholarly article
title: Schur-convexity of averages of convex functions
zbMATH Open document ID: 1220.26021
DOI: 10.1155/2011/581918
author: V. Čuljak
author: Iva Franjić
author: Roqia Ghulam
author: J. Pečarić
published in: Journal of Inequalities and Applications
publication date: 2011-05-13T00:00:00Z
review text: The properties of Schur-convexity and Schur-concavity have invoked the interest of many researchers, and numerous papers have been dedicated to the investigation of them. The authors' object is to present an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied. Relations to some already published results are established, and some applications of the extended results are produced. Furthermore, Schur-convexity of functions connected to the Hermite-Hadamard inequality is investigated. Finally, some results on convexity and Schur-convexity involving divided difference are considered. This paper contains lots of interesting interrelations with Schur-convexity.
reviewed by: V. Lokesha
Mathematics Subject Classification ID: 26D99
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 5887691
zbMATH Keywords: Schur-convexity
zbMATH Keywords: means
zbMATH Keywords: Hermite-Hadamard inequality
Wikidata QID: Q59267351
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/581918
OpenAlex ID: W2021452711
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description: scientific article; zbMATH DE number 5887691