# Dunkl generalization of Szasz Beta type operators

**Authors:** Bayram \c{C}ekim, \"Ulk\"u Dinlemez, Ismet Y\"uksel

arXiv: 1701.05578 · 2020-04-21

## TL;DR

This paper introduces Dunkl extensions of Szasz beta type operators, analyzing their approximation properties and convergence rates using various mathematical tools and theorems.

## Contribution

It presents the first study of Dunkl generalizations of Szasz beta type operators, establishing their approximation capabilities and convergence behavior.

## Key findings

- Operators converge uniformly on certain function spaces
- Convergence rates are quantified via modulus of continuity and related measures
- Theoretical bounds are derived for approximation errors

## Abstract

The goal in the paper is to advertise Dunkl extension of Szasz beta type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second order modulus of continuity, the Lipschitz class functions, Peetre's K-functional and modulus of weighted continuity by Dunkl generalization of Szasz beta type operators.

## Full text

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## References

20 references — full list in the complete paper: https://tomesphere.com/paper/1701.05578/full.md

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Source: https://tomesphere.com/paper/1701.05578