# Approximation by sequence of operators including Dunkl Appell polynomials

## TL;DR

This paper introduces a sequence of approximation operators involving Dunkl Appell polynomials, analyzing their approximation properties and establishing relations with the modulus of continuity, including an application with Gould-Hopper polynomials.

## Contribution

It develops a new sequence of operators incorporating Dunkl Appell polynomials and explores their approximation capabilities with explicit error estimates.

## Key findings

- Established approximation relations using first and second-order modulus of continuity.
- Constructed a specific application involving Gould-Hopper type polynomials.
- Demonstrated the effectiveness of the operators in approximation theory.

## 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.