Modified Sz ´ asz operators involving Charlier polynomials based on two parameters

Nadeem Rao, Abdul Wafi

Abstract


The aim of this article is to introduces a Stancu type generalization of modified Sz ´ asz operators using Charlierpolynomials. We established a recursive relation between Sz ´ asz-type operators defined in [9] and Stancu-typegeneralization of these operators. Further, we discussed Korovkin type theorem, rate of convergence in terms ofmodulus of continuity and simultaneous approximation. Moreover, we studied Local approximation results usingsecond order modulus of smoothness, Peetre’s K-functional and Lipschitz class. In the last of this manuscript, wegave weighted Korovkin type theorem and statistical approximation result in polynomial weighted space.

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|ISSN 1686-0209|