Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus

Abstract

Abstract The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval $[ \frac{1}{2},\infty )$ [ 1 2 , ∞ ) . This type of modification allows a better estimation of the error on $[ \frac{1}{2},\infty ) $ [ 1 2 , ∞ ) rather than $[ 0,\infty )$ [ 0 , ∞ ) . We establish Korovkin type result in weighted spaces and also study approximation properties with the help of modulus of continuity of order one, Lipschitz type maximal functions, and Peetre’s K-functional. Furthermore, we estimate the degrees of approximations of the operators by modulus of continuity of order two.