A new weighted statistical convergence and some associated approximation theorems

Naim L. Braha; Valdete Loku; Toufik Mansour; M. Mursaleen

doi:10.1002/mma.8134

A new weighted statistical convergence and some associated approximation theorems

Naim L. Braha, Valdete Loku, Toufik Mansour, M. Mursaleen

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study a notion called (E, 1)(C, 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Grüss-Voronovskaya type theorems and some illustrative numerical examples.

Original language	American English
Pages (from-to)	5682-5698
Number of pages	17
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	10
DOIs	https://doi.org/10.1002/mma.8134
State	Published - 2022

Keywords

(E
1)(C
1)-weighted statistical convergence
Korovkin type theorem
Voronovskaya type theorem
rate of convergence

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

Access to Document

10.1002/mma.8134

Cite this

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title = "A new weighted statistical convergence and some associated approximation theorems",

abstract = "In this paper we study a notion called (E, 1)(C, 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Gr{\"u}ss-Voronovskaya type theorems and some illustrative numerical examples.",

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AU - Loku, Valdete

AU - Mansour, Toufik

AU - Mursaleen, M.

PY - 2022

Y1 - 2022

N2 - In this paper we study a notion called (E, 1)(C, 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Grüss-Voronovskaya type theorems and some illustrative numerical examples.

AB - In this paper we study a notion called (E, 1)(C, 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Grüss-Voronovskaya type theorems and some illustrative numerical examples.

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KW - 1)(C

KW - 1)-weighted statistical convergence

KW - Korovkin type theorem

KW - Voronovskaya type theorem

KW - rate of convergence

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U2 - 10.1002/mma.8134

DO - 10.1002/mma.8134

M3 - Article

SN - 0170-4214

VL - 45

SP - 5682

EP - 5698

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 10

ER -

A new weighted statistical convergence and some associated approximation theorems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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