A generalization of multiple Wright-convex functions via randomization
type: Item
instance of: scholarly article
title: A generalization of multiple Wright-convex functions via randomization
zbMATH Open document ID: 1241.26010
author: Teresa Rajba
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-11T00:00:00Z
review text: The author considers a general class of nonnegative real functions, which are generalizations of \(n\)-Wright-convex functions introduced by \textit{A. Gilányi} and \textit{Zs. Páles} [Math. Inequal. Appl. 11, No. 2, 271--282 (2008; Zbl 1141.26304)], and studied also by \textit{Gy. Maksa} and \textit{Zs. Páles} [J. Math. Anal. Appl. 359, No. 2, 439--443 (2009; Zbl 1175.26027)]. Series and integral representations, along with many consequences are proved. The results are, however, too complicated to be presented here.
reviewed by: József Sándor
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 26D99
Mathematics Subject Classification ID: 26B35
zbMATH DE Number: 6005712
zbMATH Keywords: convexity
zbMATH Keywords: higher-order convexity
zbMATH Keywords: multiple monotone function
zbMATH Keywords: higher-order Wright-convexity
zbMATH Keywords: completely monotone function
zbMATH Keywords: difference operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.10.046
OpenAlex ID: W2002346094
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DOI: 10.1016/J.JMAA.2011.10.046
description: scientific article; zbMATH DE number 6005712