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on q-Baskakov type operators

100%

Aral A. , Gupta V.

2009

tom Vol. 42, nr 1

109-122

In the present paper we introduce two q-analogous of the well known Baskakoy 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.

Rate of convergence on Baskakov-Szasz type operators

100%

Gupta P. , Gupta V.

2001

tom Nr 31

37-44

In the present article, we obtain a direct in simultaneous approximation for the linear combination of Baskakov-Szasz type operators in terms of higher order modulus of continuity.

On the Kantorovich variant of generalized Bernstein type rational functions

100%

Gupta V. , Ispir N.

2006

tom Vol. 39, nr 1

117-130

In the present paper we define Kantorovich variant of generalized Bernstein type rational functions. We establish the order of approximation for continuous functions in different normed spaces and also estimate the rate of convergence for functions of bounded variation.