The rate of approximation of functions in an infinite interval by positive linear operators-Reference-Cited by-同舟云学术

The rate of approximation of functions in an infinite interval by positive linear operators

Published:2022-04-21 Issue:4 Volume:29 Page:575-581
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Patel Prashantkumar¹,Rathour Laxmi²

Affiliation:

1. Department of Mathematics , Sardar Patel University , Vallabh Vidyanagar – 388 120 (Gujarat) , India

2. Ward number–16, Bhagatbandh , Anuppur 484 224, Madhya Pradesh , India

Abstract

Abstract An estimation of the approximation rate by positive linear operators of functions defined on the positive half line that have finite limit at infinity is discussed. For the application of the obtained results, we introduce the positive linear operators which preserve 2 a ⁢ x

2^{ax}

, a > 0

a>0

, and obtain their uniform convergence, order of approximation via a certain weighted modulus of continuity, and a quantitative Voronovskaya type theorem.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2159/pdf

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