Rate of approximation for modified Lupaş-Jain-beta operators
type: Item
instance of: scholarly article
title: Rate of approximation for modified Lupaş-Jain-beta operators
zbMATH Open document ID: 1478.41008
DOI: 10.1155/2020/5090282
author: Yanyan Li
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on \(\sigma\) such that \(\sigma(0)=0\) and \(\underset{x \in[ 0,\infty)}{\inf} \sigma^\prime(x)\geq1\). Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces. Further, to prove pointwise convergence Voronovskaya type theorem is taken into consideration. Finally, quantitative estimates for the local approximation are discussed.
Mathematics Subject Classification ID: 41A35
zbMATH DE Number: 7385293
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5090282
OpenAlex ID: W3046578952
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description: scientific article; zbMATH DE number 7385293