By using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these ...

We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes q-integers. We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section ...

Introducing a higher order modulus of smoothness based on q-integers, in this paper first we obtain Jackson-type estimates in approximation by Jackson-type generalizations of the q-Picard and q-Gauss-Weierstrass singular ...

We define the Kantorovich variant of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We investigate direct approximation result for these operators on p-weighted integrable function ...

In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical ...

in this article, we introduce and study a new type of Picard singular integral operators on R-n constructed by means of the concept of the nonisotropic beta-distance and the q-exponential functions. The central role here ...

Very recently Wang [9] introduced the modified form of Baskakov-beta operators and obtained a Voronov-skaja type asymptotic formula for these operators. We extend the study and here we estimate a direct result in terms of ...

In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, a). Then we obtain ...

Very recently Aral and Gupta [1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic ...

In this paper, we obtain a statistical Voronovskaya-type theorem for the Szasz-Mirakjan-Kantorovich (SMK) operators by using the notion of A-statistical convergence, where A is a non-negative regular summability matrix.