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In the present paper, we give a generalization of rational type Baskakov operators. We obtain the order of approximation of continuous functions having polynomials growth at infinity by using the modulus of continuity and prove the theorem on weighted approximation on all positive semi-axis for these operators. [ABSTRACT FROM AUTHOR]

In this article, we give a generalization of the Kantorovich-Szász type operators defined by means of the Brenke type polynomials introduced in the literature and obtain convergence properties of these operators by using Korovkin's theorem. Some graphical examples using the Maple program for this approximation are given. We also establish the order of convergence by using modulus of smoothness and Peetre's K-functional and give a Voronoskaja type theorem. In addition, we deal with the convergence of these operators in a weighted space. [ABSTRACT FROM AUTHOR]

In this paper, we study Baskakov type positive operators in polynomial weighted spaces of functions of two variables. We obtain some well known operators by using our operators which are special cases of them. We give theorems on approximation, on the degrees of approximations of functions and the Vornovskaya type theorem for these operators. Finally, we present an open problem concerning the q analogue of these operators. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the q- analogue of Favard-Szász operators related to the q-Appell polynomials. We establish the approximation properties of these new operators and estimate the rate of convergence results. [ABSTRACT FROM AUTHOR]