On the order of modular approximation for nets of integral operators in modular Lipschitz classes
type: Item
instance of: scholarly article
title: On the order of modular approximation for nets of integral operators in modular Lipschitz classes
zbMATH Open document ID: 0918.41017
author: Carlo Bardaro
author: Gianluca Vinti
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 1999-02-17T00:00:00Z
review text: For nets of linear and also nonlinear integral operators of convolution type acting on functions in modular function spaces (generated by a modular functional) and satisfying in addition some general Lipschitz condition in terms of a comparison function the degree of approximation is studied. The very general results of the paper include in particular estimates for Lipschitz classes in \(L_p\)-spaces, Orlicz spaces and Musielak-Orlicz spaces.
reviewed by: Manfred Wolfgang Müller
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 46A80
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1251478
zbMATH Keywords: integral operators
zbMATH Keywords: modular space
zbMATH Keywords: modular Lipschitz classes
zbMATH Keywords: order of approximation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1251478