Properties of some functionals related to Jensen's inequality
type: Item
instance of: scholarly article
title: Properties of some functionals related to Jensen's inequality
zbMATH Open document ID: 0847.26013
DOI: 10.1007/BF00113918
author: Silvestru Sever Dragomir
author: Lars-Erik Persson
author: J. Pečarić
published in: Acta Mathematica Hungarica
publication date: 1996-05-13T00:00:00Z
review text: The authors offer generalizations of the weighted Jensen inequality (which is the definition of convex functions) to real linear spaces. They explore their connections to superadditivity, supermultiplicativity and sublinearity, and apply the results to similar generalizations of the Hölder, Minkowski, arithmetic and geometric mean etc. inequalities. In the last line of p. 129 ``positive'' (nonnegative?) is missing before ``for all''.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 878120
zbMATH Keywords: Hölder inequality
zbMATH Keywords: Minkowski inequality
zbMATH Keywords: arithmetic and geometric mean inequality
zbMATH Keywords: weighted Jensen inequality
zbMATH Keywords: superadditivity
zbMATH Keywords: supermultiplicativity
zbMATH Keywords: sublinearity
reviewed by: János Aczél
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00113918
OpenAlex ID: W2051641650
description: scientific article; zbMATH DE number 878120