Jain's operator: A new construction and applications in approximation theory

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Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Wiley

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

The new and more comprehensive Jain-type operators based on a function tau and two sequences of functions pn and qn have been introduced. This newly defined operator has an important place in which these three functions can create both existing and new operators with special selections. In order to show their approximation properties, we present direct approximation results and Voronovkskaya-type results for these operators. Finally, we provide a series of numerical examples to show their performance visually.

Description

Keywords

Jain's operators, Korovkin-type theorem, Voronovskaya theorem, weighted approximation

Journal or Series

Mathematical Methods in the Applied Sciences

WoS Q Value

Q1

Scopus Q Value

Q1

Volume

46

Issue

13

Citation