Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Selma Altundağ; Bayram Sözbir

doi:10.33187/jmsm.652626

EN

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Abstract

In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.

Keywords

αβ-statistical convergence,Double sequences,Korovkin type theorem,Lacunary statistical convergence,λ-statistical convergence,Statistical convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Selma Altundağ
0000-0002-5893-9868
Türkiye

Bayram Sözbir ^*
0000-0002-9475-7180
Türkiye

Publication Date

December 26, 2019

Submission Date

November 28, 2019

Acceptance Date

December 22, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.33187/jmsm.652626

IZ

https://izlik.org/JA32GG74UU

APA

Altundağ, S., & Sözbir, B. (2019). Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling, 2(3), 198-204. https://doi.org/10.33187/jmsm.652626

AMA

1.Altundağ S, Sözbir B. Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling. 2019;2(3):198-204. doi:10.33187/jmsm.652626

Chicago

Altundağ, Selma, and Bayram Sözbir. 2019. “Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence”. Journal of Mathematical Sciences and Modelling 2 (3): 198-204. https://doi.org/10.33187/jmsm.652626.

EndNote

Altundağ S, Sözbir B (December 1, 2019) Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling 2 3 198–204.

IEEE

[1]S. Altundağ and B. Sözbir, “Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 3, pp. 198–204, Dec. 2019, doi: 10.33187/jmsm.652626.

ISNAD

Altundağ, Selma - Sözbir, Bayram. “Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence”. Journal of Mathematical Sciences and Modelling 2/3 (December 1, 2019): 198-204. https://doi.org/10.33187/jmsm.652626.

JAMA

1.Altundağ S, Sözbir B. Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling. 2019;2:198–204.

MLA

Altundağ, Selma, and Bayram Sözbir. “Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 3, Dec. 2019, pp. 198-04, doi:10.33187/jmsm.652626.

Vancouver

1.Selma Altundağ, Bayram Sözbir. Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling. 2019 Dec. 1;2(3):198-204. doi:10.33187/jmsm.652626

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https://doi.org/10.1515/dema-2025-0163

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