Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators
type: Item
instance of: scholarly article
title: Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators
zbMATH Open document ID: 1301.41015
DOI: 10.4171/RLM/675
author: Laura Angeloni
author: Gianluca Vinti
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2014-11-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1408.6168
review text: Summary: In this paper we study convergence results and rate of approximation for a family of linear integral operators of Mellin type in the frame of \(BV^{\phi}(\mathbb R^N_+)\). Here \(BV^{\phi}(\mathbb R^N_+)\) denotes the space of functions with bounded \(\phi\)-variation on \(\mathbb R^N_+\), defined by means of a concept of multidimensional \(\phi\)-variation in the sense of Tonelli.
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 26A45
zbMATH DE Number: 6363535
zbMATH Keywords: Mellin integral operators
zbMATH Keywords: multidimensional \(\phi\)-variation
zbMATH Keywords: rate of approximation
zbMATH Keywords: Lipschitz classes
zbMATH Keywords: \(\phi\)-modulus of smoothness
MaRDI profile type: Publication
arXiv ID: 1408.6168
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description: scientific article; zbMATH DE number 6363535