Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type
type: Item
instance of: scholarly article
title: Approximation by Szasz-Kantorovich type operators associated with \(\mathrm{d}\)-symmetric \(\mathrm{d}\)-orthogonal polynomials of Brenke type
zbMATH Open document ID: 1548.41015
author: Ajay Kumar
author: Abhishek Senapati
author: Tanmoy Som
published in: The Journal of Analysis
publication date: 2024-10-17T00:00:00Z
review text: The study of convergence rate of the considered operators using the Peetre's K-functional and the modulus of smoothness has been done. Furthermore, an estimation of the speed of convergences for some special classes of functions, namely, the Lipschitz-type class of functions has been provided. The Voronovskaja-type theorem is also proved.
reviewed by: W. Łenski
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 7928421
zbMATH Keywords: linear positive operators
zbMATH Keywords: rate of convergence
zbMATH Keywords: modulus of smoothness
zbMATH Keywords: Voronovskaja-type theorem
MaRDI profile type: Publication
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DOI: 10.1007/S41478-023-00668-2
description: scientific article; zbMATH DE number 7928421