MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A note on rate of approximation for certain Bézier-Durrmeyer operators
Vijay Gupta and Naokant Deo

Abstract

The present paper deals with certain Bézier-Durrmeyer type sequence of linear positive operators $M_{n,\alpha}(f,x)$, having different basis functions in summation and integration. We estimate the rate of convergence of these operators $M_{n,\alpha}(f,x)$, for functions having derivatives of bounded variation.

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Keywords: Linear positive operators; Baskakov and Szász basis functions; summation-integral type operators; Bézier variant; rate of convergence.

MSC: 41A25, 41A30

Pages:  27--32     

Volume  63 ,  Issue  1 ,  2011