On the modification of the Szaśz–Durrmeyer operators-Reference-Cited by-同舟云学术

On the modification of the Szaśz–Durrmeyer operators

Published:2016-09-01 Issue:3 Volume:23 Page:323-328
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Aral Ali¹,Deniz Emre¹,Gupta Vijay²

Affiliation:

1. 1Department of Mathematics, Kırıkkale University, 71450 Yahşihan, Kırıkkale, Turkey

2. 2Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India

Abstract

AbstractIn this paper we consider the modification of Szász–Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted modulus of smoothness are given. Moreover, a direct approximation theorem for the operators is proved.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/23/3/article-p323.xml

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