Korean J. Math. Vol. 25 No. 1 (2017) pp.99-116
DOI: https://doi.org/10.11568/kjm.2017.25.1.99

On Kantorovich form of generalized Sz\'{a}sz-type operators using Charlier polynomials

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Published: Mar 30, 2017
Keywords:
Kantorovich Sz\'{a}sz operators, Charlier polynomials, Ditzian-Totik modulus of smoothness, Peetre's K-functional, Lipschitz class
Mathematics Subject Classification:
41A10, 41A25, 41A36, 41A36.

Main Article Content

Abdul Wafi
Department of Mathematics Jamia Millia Islamia New Delhi 110025, India
Nadeem Rao
Department of Mathematics Jamia Millia Islamia New Delhi-110025, India
. Deepmala
Mathematics Discipline, PDPM Indian Institute of Information Technology Design & Manufacturing Jabalpur, Madhya Pradesh-482005, India

Abstract

The aim of this article is to introduce a new form of Kantorovich Sz\'{a}sz-type operators involving Charlier polynomials. In this manuscript, we discuss the rate of convergence, better error estimates. Further, we investigate order of approximation in the sense of local approximation results with the help of Ditzian-Totik modulus of smoothness, second order modulus of continuity, Peetre's K-functional and Lipschitz class.


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Supporting Agencies

This work was supported by University Grant Commission (UGC) under the scheme of Basic Scientific Research (BSR) Fellowship.

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