Original scientific paper

On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials

Mohammad Mursaleen ; Department of Mathematics, Aligarh Muslim University, Aligarh, India
Shagufta Rahman ; Department of Mathematics, Aligarh Muslim University, Aligarh, India
Khursheed J. Ansari ; Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

Abstract

In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ofLipschitz function. Furthermore, we obtain the quantitative Voronovskaja type theoremin terms of Ditzian-Totik modulus of smoothness. In the last section, we study the rate ofpoint-wise convergence for the functions having a derivative of bounded variation.

Keywords

Bezier operators; Gould Hopper polynomials; Rate of convergence; Weighted modulus of continuity; Bounded variation

Hrčak ID:

227059

URI

https://hrcak.srce.hr/227059

Publication date:

25.10.2019.

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