A Dunkl type generalization of Szász operators via post-quantum calculus.

The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity. Furthermore, we obtain the rate of convergence of these operators for functions belonging to the Lipschitz class. We also study the bivariate version of these operators.

On modified Dunkl generalization of Szász operators via q-calculus.

The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [Formula: see text] than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class.

Generalized [Formula: see text]-Bleimann-Butzer-Hahn operators and some approximation results.

The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text]-integers which is based on a continuously differentiable function µ on [Formula: see text]. We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.