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