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

Asha Ram Gairola, Girish Dobhal

Abstract


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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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|