Approximation by modified Jain–Baskakov operators-Reference-Cited by-同舟云学术

Approximation by modified Jain–Baskakov operators

Published:2020-09-01 Issue:3 Volume:27 Page:403-412
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
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Author:

Mishra Vishnu Narayan¹,Sharma Preeti²,Birou Marius Mihai³

Affiliation:

1. Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484-887; and L. 1627 Awadh Puri Colony Beniganj, Phase III, Opposite – Industrial Training Institute (I.T.I.), Ayodhya Main Road Faizabad 224-001, (Uttar Pradesh), India

2. Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali Niwai-304022, Rajasthan, India

3. Department of Mathematics, Technical University of Cluj Napoca, Memorandumului 28, 400114Cluj Napoca, Romania

Abstract

AbstractIn the present paper, we discuss the approximation properties of Jain–Baskakov operators with parameter c. The paper deals with the modified forms of the Baskakov basis functions. Some direct results are established, which include the asymptotic formula, error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct the King modification of these operators, which preserves the test functions

{e_{0}}

and

{e_{1}}

. It is shown that these King type operators provide a better approximation order than some Baskakov–Durrmeyer operators for continuous functions defined on some closed intervals.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/3/article-p403.xml

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