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

Abstract

Abstract 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.

Keywords

• ( p , q ) $(p,q)$ -integers
• ( p , q ) $(p,q)$ -analogues of the exponential function
• Dunkl analogue
• Szász operator
• modulus of continuity