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

Abdul Wafi, Nadeem Rao, . Deepmala

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.

Keywords


Kantorovich Sz\'{a}sz operators, Charlier polynomials, Ditzian-Totik modulus of smoothness, Peetre's K-functional, Lipschitz class

Subject classification

41A10, 41A25, 41A36, 41A36.

Sponsor(s)

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

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