Approximation by a new sequence of operators involving Apostol-Genocchi polynomials-Reference-Cited by-同舟云学术

Approximation by a new sequence of operators involving Apostol-Genocchi polynomials

Published:2021-10-01 Issue:5 Volume:71 Page:1179-1188
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Prakash Chandra¹,Verma Durvesh Kumar²,Deo Naokant¹

Affiliation:

1. Department of Applied Mathematics , Delhi Technological University , Delhi - , India

2. Department of Mathematics , Miranda house , University of Delhi Delhi - India

Abstract

Abstract The main objective of this paper is to construct a new sequence of operators involving Apostol-Genocchi polynomials based on certain parameters. We investigate the rate of convergence of the operators given in this paper using second-order modulus of continuity and Voronovskaja type approximation theorem. Moreover, we find weighted approximation result of the given operators. Finally, we derive the Kantorovich variant of the given operators and discussed the approximation results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0047/pdf

Reference29 articles.

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