Necessary and sufficient conditions for the validity of Jensen's inequality
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for the validity of Jensen's inequality
zbMATH Open document ID: 1280.26027
author: Allal Guessab
author: Gerhard Schmeisser
published in: Archiv der Mathematik
publication date: 2013-07-19T00:00:00Z
review text: The authors established some improvements for several known results relative to the \(n\)-dimensional Jensen's inequality [\textit{J. E. McShane}, Bull. Am. Math. Soc. 43, 521--527 (1937; Zbl 0017.16003; JFM 63.0160.01)].
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 6189585
zbMATH Keywords: Jensen's inequality
zbMATH Keywords: convex functions
zbMATH Keywords: subliniear functional
zbMATH Keywords: positive functional
MaRDI profile type: Publication
full work available at URL: s00013-013-0522-3
OpenAlex ID: W2127037416
cites work: Probability theory. Translated from the German by Robert B. Burckel
cites work: Convexity inequalities for positive operators
cites work: Q4758141
cites work: On Jensen's inequality for \(g\)-expectation and for nonlinear expectation
cites work: The minimal sublinear expectations and their related properties
cites work: Jensen’s inequality
DOI: 10.1007/S00013-013-0522-3
description: scientific article; zbMATH DE number 6189585