Error estimation by Schurer type (p,q)-Lorentz operator on a compact disk

Author:

Saif Mohd1,Khan Faisal2,Khan Shuzaat3

Affiliation:

1. Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, Andhra Pradesh, India

2. Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India

3. Department of Mathematics, Faculty of Natural Science, Jamia Millia Islamia University, New Delhi, India

Abstract

In this manuscript, we construct a complex (p, q) Lorentz-Schurer operator for q > p > 1 and discuss the approximation properties on a compact disk. Based on the Voronovskaja?s type theorem and exact orders, we also obtain quantitative estimate by the (p, q) Lorentz-Schurer operator attached to analytic functions in the compact disk.

Publisher

National Library of Serbia

Subject

General Mathematics

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