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.

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