Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2017.01.26
  • Accepted : 2017.03.20
  • Published : 2017.03.30
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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.

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References

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