# A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

## TL;DR

This paper introduces a Dunkl generalization of operators involving two-variable Hermite polynomials and studies their approximation properties using classical tools like modulus of continuity and Peetre's K-functional.

## Contribution

It presents a novel Dunkl analogue of operators with two-variable Hermite polynomials and analyzes their approximation behavior.

## Key findings

- Operators effectively approximate functions with quantifiable error bounds.
- Approximation properties are characterized using classical modulus of continuity.
- Results extend classical Hermite polynomial operators through Dunkl generalization.

## Abstract

The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G. A note on some positive linear operators associated with the Hermite polynomials, Carpathian J. Math., 32 (1) (2016), 71--77) and to investigate approximating properties for these operators by means of the classical modulus of continuity, second modulus of continuity and Peetre's K-functional.