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

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	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.8134
State	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 John Wiley & Sons, Ltd.

Keywords

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

ASJC Scopus subject areas

Mathematics (all)
Engineering (all)

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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 - Braha, Naim L.

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.

KW - (E

KW - 1)(C

KW - 1)-weighted statistical convergence

KW - Korovkin type theorem

KW - rate of convergence

KW - Voronovskaya type theorem

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U2 - 10.1002/mma.8134

DO - 10.1002/mma.8134

M3 - Article

AN - SCOPUS:85125041218

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

ER -

A new weighted statistical convergence and some associated approximation theorems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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