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King type generalization of Baskakov operators based on (𝑝, 𝑞) calculus with better approximation properties

  • Lakshmi Narayan Mishra EMAIL logo , Shikha Pandey ORCID logo and Vishnu Narayan Mishra ORCID logo
Published/Copyright: August 4, 2020

Abstract

Approximation using linear positive operators is a well-studied research area. Many operators and their generalizations are investigated for their better approximation properties. In the present paper, we construct and investigate a variant of modified (p,q)-Baskakov operators, which reproduce the test function x2. We have determined the order of approximation of the operators via K-functional and second order, the usual modulus of continuity, weighted and statistical approximation properties. In the end, some graphical results which depict the comparison with (p,q)-Baskakov operators are explained and a Voronovskaja type result is obtained.

MSC 2010: 41A25; 41A35; 41A36
  1. Conflict of Interest: The authors declare that there is no conflict of interest regarding the publication of this manuscript.

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Received: 2019-11-30
Revised: 2020-07-01
Accepted: 2020-07-02
Published Online: 2020-08-04
Published in Print: 2020-11-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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