Some refinements of Jensen's inequality
type: Item
instance of: scholarly article
title: Some refinements of Jensen's inequality
zbMATH Open document ID: 0765.26007
DOI: 10.1016/0022-247X(92)90177-F
author: Silvestru Sever Dragomir
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: Let \(C\) be a convex subset of a real vector space and let \(f\) be a convex function on \(C\). Let \(x_ i\in C\), \(p_ i\geq0\), \(\sum^ n_{i=1}p_ i=1\). The author inserts some expressions between 0 and \(\sum^ n_{i=1}p_ if(x_ i)-f\left(\sum^ n_{i=1}p_ ix_ i\right)\).
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 150613
zbMATH Keywords: Jensen inequality
zbMATH Keywords: convex function
reviewed by: Ioan Raşa
MaRDI profile type: Publication
cites work: Analytic Inequalities
full work available at URL: 0022-247x(92)90177-f
OpenAlex ID: W2086428837
description: scientific article; zbMATH DE number 150613