On q-Baskakov type operators

Abstract

In the present paper we introduce two g-analogous of the well known Baskakov operators. For the first operator we obtain convergence property on bounded interval. Then we give the montonity on the sequence of q-Baskakov operators for n when the function f is convex. For second operator, we obtain direct approximation property on unbounded interval and estimate the rate of convergence. One can say that, depending on the selection of q, these operators are more flexible then the classical Baskakov operators while retaining their approximation properties. © 2009 Warsaw University. All rights reserved.