Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence

Selin Çınar

doi:10.32323/ujma.1207010

EN

Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence

Abstract

This article is a continuation of our previous works. We mainly investigate a Korovkin type theorem for double sequences of positive linear operators defined in the space of all $2\pi $-periodic and real valued continuous functions on the real two-dimensional space with help of the concept of triangular $A$-statistical convergence, which is a kind of statistical convergence for double real sequences. Also, we analyze the rate of convergence of double operators in this via modulus of continuity.

Keywords

Positive linear operator, Korovkin type theorem, triangular A-statistical convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Selin Çınar ^*
0000-0002-6244-6214
Türkiye

Publication Date

March 28, 2023

Submission Date

November 18, 2022

Acceptance Date

January 23, 2023

Published in Issue

Year 2023 Volume: 6 Number: 1

DOI

https://doi.org/10.32323/ujma.1207010

IZ

https://izlik.org/JA54LL53XX

APA

Çınar, S. (2023). Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence. Universal Journal of Mathematics and Applications, 6(1), 15-22. https://doi.org/10.32323/ujma.1207010

AMA

1.Çınar S. Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence. Univ. J. Math. Appl. 2023;6(1):15-22. doi:10.32323/ujma.1207010

Chicago

Çınar, Selin. 2023. “Theorems of Second Korovkin Type With Respect to Triangular $A$-Statistical Convergence”. Universal Journal of Mathematics and Applications 6 (1): 15-22. https://doi.org/10.32323/ujma.1207010.

EndNote

Çınar S (March 1, 2023) Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence. Universal Journal of Mathematics and Applications 6 1 15–22.

IEEE

[1]S. Çınar, “Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence”, Univ. J. Math. Appl., vol. 6, no. 1, pp. 15–22, Mar. 2023, doi: 10.32323/ujma.1207010.

ISNAD

Çınar, Selin. “Theorems of Second Korovkin Type With Respect to Triangular $A$-Statistical Convergence”. Universal Journal of Mathematics and Applications 6/1 (March 1, 2023): 15-22. https://doi.org/10.32323/ujma.1207010.

JAMA

1.Çınar S. Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence. Univ. J. Math. Appl. 2023;6:15–22.

MLA

Çınar, Selin. “Theorems of Second Korovkin Type With Respect to Triangular $A$-Statistical Convergence”. Universal Journal of Mathematics and Applications, vol. 6, no. 1, Mar. 2023, pp. 15-22, doi:10.32323/ujma.1207010.

Vancouver

1.Selin Çınar. Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence. Univ. J. Math. Appl. 2023 Mar. 1;6(1):15-22. doi:10.32323/ujma.1207010