# Some Approximation Properties of New Families of Positive Linear   Operators

**Authors:** Prashantkumar Patel

arXiv: 1904.08635 · 2019-04-19

## TL;DR

This paper introduces new positive linear operators similar to Jain operators, exploring their approximation properties through theorems, direct results, asymptotic formulas, and statistical convergence analysis.

## Contribution

It proposes a new class of positive linear operators with distinct approximation properties from Jain operators, including theoretical analysis and convergence results.

## Key findings

- Operators exhibit unique approximation behaviors.
- Theorems of degree of approximation are established.
- Statistical convergence of the operators is demonstrated.

## Abstract

In the present article, we propose the new class positive linear operators, which discrete type depending on a real parameters. These operators are similar to Jain operators but its approximation properties are different then Jain operators. Theorems of degree of approximation, direct results, Voronovskaya Asymptotic formula and statistical convergence are discussed.

## Full text

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## References

25 references — full list in the complete paper: https://tomesphere.com/paper/1904.08635/full.md

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Source: https://tomesphere.com/paper/1904.08635