Lp-Approximation by Bezier Variant of Certain Summation-Integral Type Operators

Asha Ram Gairola, Girish Dobhal


The problem of Lp−aproximation has been received consideration of many authors. In this paper we establish the direct and inverse theorems for the Bezier variant Mn, of certain summation-integral type operators Mn in Lp−norm using Ditzian-Totik modulus of smoothness. These operators include the well known Baskakov-Durrmeyer and Szasz-Durrmeyer type operators as special cases.

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|ISSN 1686-0209|