Integral Operators Containing Sheffer Polynomials (communicated by Vijay Gupta)

نویسنده

  • SEZGİN SUCU
چکیده

The aim of the present paper is to introduce new type integral operators which involve Sheffer polynomials. We investigate approximation properties of the our operators with the help of the universal Korovkin-type property and also establish the rate of convergence by using modulus of continuity, second order modulus of smoothness and Petree’s Kfunctional. Moreover, some examples which include Sheffer type sequence known as monomial, Bell, Toscano and Laguerre polynomials are given to compute error estimation by modulus of continuity.

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تاریخ انتشار 2012