New refinements of the Jensen inequalities based on samples with repetitions
type: Item
instance of: scholarly article
title: New refinements of the Jensen inequalities based on samples with repetitions
zbMATH Open document ID: 0912.26008
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-29T00:00:00Z
review text: The paper contains refinements of the Jensen inequality for a mid-convex real function \(f\) defined on a convex subset of a real linear space. The new inequalities involve \(f\) evaluated at arithmetic means of samples with repetitions. The case of samples without repetitions was treated previously by \textit{J. E. Pečarić} and \textit{V. Volenec} [Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 197, No. 8-10, 463-467 (1988; Zbl 0683.26008)].
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 1218607
zbMATH Keywords: Jensen inequality
zbMATH Keywords: mid-convex real function
author: J. Pečarić
author: Dragutin Svrtan
reviewed by: Ioan Raşa
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5839
OpenAlex ID: W2038038072
cites work: Q3663560
cites work: Q4732662
cites work: Q4732661
cites work: Folgenkonvexe Funktionen
DOI: 10.1006/JMAA.1997.5839
description: scientific article; zbMATH DE number 1218607