On approximation properties of Gupta-type operators
type: Item
instance of: scholarly article
title: On approximation properties of Gupta-type operators
zbMATH Open document ID: 1445.41016
author: Neha Malik
published in: The Journal of Analysis
publication date: 2020-07-14T00:00:00Z
review text: The paper is concerned with a sequence of positive linear operators introduced by \textit{V. Gupta} [Some examples of genuine approximation operators, Gen. Math. 26, 3--10 (2018)]. The operators act on functions defined on the positive semi-axis and preserve the linear functions. The author establishes recurrence relations for the operators and for their central moments and gives quantitative results concerning the rate of convergence. A Gruess type Voronovskaya theorem is presented. In the last section, differences of two operators with the same basis function are investigated.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 47A58
zbMATH DE Number: 7220234
zbMATH Keywords: Mastroianni operators
zbMATH Keywords: Gupta-type operators
zbMATH Keywords: Grüss-type Voronovskaya result
zbMATH Keywords: difference of operators
reviewed by: Ioan Raşa
MaRDI profile type: Publication
full work available at URL: s41478-019-00195-z
OpenAlex ID: W2972081317
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DOI: 10.1007/S41478-019-00195-Z
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description: scientific article; zbMATH DE number 7220234