Korovkin type approximation theorem via AI2 -summability methods-Reference-Cited by-同舟云学术

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Korovkin type approximation theorem via AI2 -summability methods

Published:2016 Issue:10 Volume:30 Page:2663-2672
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Dutta Sudipta¹,Akdağ Sevda²,Das Pratulananda³

Affiliation:

1. Jhargram Raj College, Department of Mathematics, Jhargram, Paschim Medinipur, West Bengal, India

2. Sinop University, Faculty of Arts and Sciences, Department of Mathematics, Sinop, Turkey

3. Jadavpur University, Department of Mathematics, Jadavpur, West Bengal, India

Abstract

In this paper we consider the notion of AI2-summability for real double sequences which is an extension of the notion of AI-summability for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of AI2-summability.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. AJ-Statistical Approximation of Continuous Functions by Sequence of Convolution Operators;Kragujevac Journal of Mathematics;2022-06

2. I_2-Relative uniform convergence and Korovkin type approximation;Acta et Commentationes Universitatis Tartuensis de Mathematica;2021-11-17

3. Korovkin type approximation on an infinite interval via generalized matrix summability method using ideal;Studia Universitatis Babes-Bolyai Matematica;2020-06-02

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