The convergence rate of of multivariate operators on simplex in Orlicz space

TL;DR

This paper investigates how quickly multivariate operators approximate functions in Orlicz spaces on a simplex, providing convergence rates based on the modulus of smoothness.

Contribution

It introduces new convergence rate results for multivariate operators in Orlicz spaces on simplexes, linking approximation speed to smoothness measures.

Findings

Convergence rates are established for multivariate operators in Orlicz spaces.

The approximation quality depends on the modulus of smoothness.

Results extend existing theories to multivariate settings on simplexes.

Abstract

The approximation of functions in Orlicz space by multivariate operators on simplex is considered. The convergence rate is given by using modulus of smoothness.