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http://dx.doi.org/10.11568/kjm.2017.25.1.99

ON KANTOROVICH FORM OF GENERALIZED SZÁSZ-TYPE OPERATORS USING CHARLIER POLYNOMIALS  

Wafi, Abdul (Department of Mathematics Jamia Millia Islamia)
Rao, Nadeem (Department of Mathematics Jamia Millia Islamia)
Deepmala, Deepmala (Mathematics Discipline, PDPM Indian Institute of Information Technology Design & Manufacturing)
Publication Information
Korean Journal of Mathematics / v.25, no.1, 2017 , pp. 99-116 More about this Journal
Abstract
The aim of this article is to introduce a new form of Kantorovich $Sz{\acute{a}}sz$-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 $Sz{\acute{a}}sz$ operators; Charlier polynomials; Ditzian-Totik modulus of smoothness; Peetre's K-functional; Lipschitz class;
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