Approximation by Sequence of Operators Including Dunkl–Appell Polynomials

Abstract

In this article, we give a sequence of operators for producing an approximation result. The relation between the rate of approximation of sequence operators including Dunkl variant of exponential function with first and second-order modulus of continuity are shown. A specific application of sequence of operators which include Gould-Hopper type polynomials is constructed.

Adaptation of the Kantorovich Type Integral to the Dunkl Operator

“…In 2020, Sucu (2020) introduced a new generalization of the operator 𝑆 𝑚 with the Dunkl-Appell polynomials by…”

Generalization of Szász operators involving multiple Sheffer polynomials

“…In the recent past, many studies have been carried out on approximation by positive linear operators involving Sheffer polynomials; see, for example, [4,12,13,19] for details. In addition, research has been undertaken in an attempt at generalization of the Szász operators associated with multiple polynomial sets [2,21].…”