Generalization of the power means and their inequalities
type: Item
instance of: scholarly article
title: Generalization of the power means and their inequalities
zbMATH Open document ID: 0753.26009
DOI: 10.1016/0022-247X(91)90339-2
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: The paper contains a generalization of the power means which includes a class of positive nonlinear functionals. For these new means the author obtains generalizations of the fundamental mean inequality, Hölder's, Minkowski's and related inequalities.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 57721
zbMATH Keywords: Hölder inequality
zbMATH Keywords: Minkowski inequality
zbMATH Keywords: converse inequality
zbMATH Keywords: generalization
zbMATH Keywords: power means
zbMATH Keywords: positive nonlinear functionals
zbMATH Keywords: mean inequality
author: J. Pečarić
reviewed by: Ioan Raşa
MaRDI profile type: Publication
cites work: On Jessen's inequality for convex functions
cites work: On Jessen's inequality for convex functions. II
cites work: On Jessen's inequality for convex functions. III
cites work: On Hölder's inequalities for convexity
cites work: Q3781294
description: scientific article; zbMATH DE number 57721