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 this paper, we give the generalizations of the Picard and the Gauss Weierstrass singular integral operators which are based on the q-numbers and depend on q-generalization of the Euler gamma integral. Later on, some ...

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 ...

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 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 ...

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 ...

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 introduce the family of linear operators [GRAPHICS] associated to a certain "admissible bunch" of operators S-t, t > 0, acting on L-p (R-n, dm, and investigate the approximation properties of this family as alpha -> ...

We introduce a new Szasz-Type operators depending on weighted functions. We analyze approximation results of these operators on weighted space. Our numerical results are consistent with our theory.

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 ...