Rate of convergence of certain families of Jain operators of integral type

TL;DR

This paper introduces new Jain operators of integral type, analyzes their convergence rate for functions with bounded variation derivatives, and includes known operators as special cases.

Contribution

The paper presents new families of positive linear Jain operators of integral type and estimates their convergence rate for functions with derivatives of bounded variation.

Findings

Established convergence rates for the new Jain operators.

Included well-known operators as special cases.

Provided theoretical bounds for approximation accuracy.

Abstract

In the present paper, the authors introduce and investigate new sequences of positive linear operators which include some well known operators as special cases. Here we estimate the rate of convergence for functions having derivatives of bounded variation by families of Jain operators of integral type.