Approximation properties of \((p,q)\)-Szász-Mirakjan-Durrmeyer operators
type: Item
instance of: scholarly article
title: Approximation properties of \((p,q)\)-Szász-Mirakjan-Durrmeyer operators
zbMATH Open document ID: 1462.41011
DOI: 10.1155/2021/6649570
author: Yanyan Li
published in: Journal of Function Spaces
publication date: 2021-05-04T00:00:00Z
review text: Summary: In this article, we introduce a new Durrmeyer-type generalization of \((p,q)\)-Szász-Mirakjan operators using the \((p,q)\)-gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre \(\mathcal{K}\)-functional. Finally, the rate of convergence and weighted approximation of these operators are presented.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 7343382
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6649570
OpenAlex ID: W3133926398
cites work: On \((p, q)\)-analogue of Bernstein operators
cites work: Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
cites work: (p,q)‐Generalization of Szász–Mirakyan operators
cites work: On a Kantorovich variant of \((p, q)\)-Szász-Mirakjan operators
cites work: On \((p,q)\)-generalization of Szász-Mirakyan Kantorovich operators
cites work: On a modification of \((p,q)\)-Szász-Mirakyan operators
cites work: Applications of (p,q)-gamma function to Szász Durrmeyer operators
cites work: On \((p,q)\)-Szász-Mirakyan operators and their approximation properties
cites work: Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators
cites work: \((p , q)\)-generalization of Szász-Mirakjan operators and their approximation properties
cites work: Recent advances in constructive approximation theory
cites work: On two (p, q)-analogues of the Laplace transform
cites work: Q3797660
cites work: Q4273944
cites work: On modified Baskakov operators on weighted space
cites work: Q4163901
description: scientific article; zbMATH DE number 7343382