Regularity of weakly subquadratic functions
type: Item
instance of: scholarly article
title: Regularity of weakly subquadratic functions
zbMATH Open document ID: 1230.26010
author: Katarzyna Troczka-Pawelec
author: Attila Gilányi
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-07-18T00:00:00Z
full work available at URL: http://hdl.handle.net/2437/110905
review text: Let \(G\) be a topological group and consider the collection of all real-valued functions \(f\) on \(G\) satisfying the functional inequality \[ f(x+y) + f(x-y) \leq 2f(x) + 2f(y)\;,\quad x,y\in G\;. \] The upper and lower hulls of such a collection of functions are studied, and some Bernstein-Doetsch type theorems are established.
reviewed by: Wing-Sum Cheung
Mathematics Subject Classification ID: 26D07
zbMATH DE Number: 5925597
zbMATH Keywords: sub-quadratic functions
zbMATH Keywords: Bernstein-Doetsch type theorems
zbMATH Keywords: upper and lower hull
MaRDI profile type: Publication
OpenAlex ID: W2079377967
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DOI: 10.1016/J.JMAA.2011.04.073
description: scientific article; zbMATH DE number 5925597