Title of article :
Statistical approximation results for Kantorovich-type operators involving some special polynomials
Author/Authors :
ضzarslan، نويسنده , , M. Ali and Duman، نويسنده , , Oktay and Srivastava، نويسنده , , H.M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
In this paper we introduce a general sequence of Kantorovich-type operators associated with some special polynomials and study their approximation properties. Mainly, we compute the rates of A -statistical convergence of these operators, which are observed to be stronger than that of the operators used commonly in Approximation Theory. Furthermore, we present an r th order generalization of our sequence of Kantorovich-type operators.
Keywords :
A -statistical convergence , Kantorovich-type operators , Infinite summability matrix , Modulus of continuity , r th order generalizations , Lipschitz class , Positive linear operators
Journal title :
Mathematical and Computer Modelling
Journal title :
Mathematical and Computer Modelling