I-Statistical Rough Convergence of Order α

Sevcan Bulut; Aykut Or

doi:10.53570/jnt.1062253

EN

I-Statistical Rough Convergence of Order α

Abstract

The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α. Moreover, the necessary and sufficient condition for a sequence (x_k) to be I-st bounded of order α is studied. In addition, the necessary and sufficient condition for a sequence (x_k) to be I-st convergent of order α is examined. Finally, the need for further research studies is discussed.

Keywords

Ideal rough convergence, Ideal statistical rough convergence, Ideal statistical rough convergence of order α.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sevcan Bulut
0000-0002-2926-8217
Türkiye

Aykut Or ^*
0000-0001-5279-0057
Türkiye

Publication Date

March 31, 2022

Submission Date

January 24, 2022

Acceptance Date

March 15, 2022

Published in Issue

Year 2022 Number: 38

DOI

https://doi.org/10.53570/jnt.1062253

IZ

https://izlik.org/JA73YH99UA

APA

Bulut, S., & Or, A. (2022). I-Statistical Rough Convergence of Order α. Journal of New Theory, 38, 34-41. https://doi.org/10.53570/jnt.1062253

AMA

1.Bulut S, Or A. I-Statistical Rough Convergence of Order α. JNT. 2022;(38):34-41. doi:10.53570/jnt.1062253

Chicago

Bulut, Sevcan, and Aykut Or. 2022. “I-Statistical Rough Convergence of Order α”. Journal of New Theory, nos. 38: 34-41. https://doi.org/10.53570/jnt.1062253.

EndNote

Bulut S, Or A (March 1, 2022) I-Statistical Rough Convergence of Order α. Journal of New Theory 38 34–41.

IEEE

[1]S. Bulut and A. Or, “I-Statistical Rough Convergence of Order α”, JNT, no. 38, pp. 34–41, Mar. 2022, doi: 10.53570/jnt.1062253.

ISNAD

Bulut, Sevcan - Or, Aykut. “I-Statistical Rough Convergence of Order α”. Journal of New Theory. 38 (March 1, 2022): 34-41. https://doi.org/10.53570/jnt.1062253.

JAMA

1.Bulut S, Or A. I-Statistical Rough Convergence of Order α. JNT. 2022;:34–41.

MLA

Bulut, Sevcan, and Aykut Or. “I-Statistical Rough Convergence of Order α”. Journal of New Theory, no. 38, Mar. 2022, pp. 34-41, doi:10.53570/jnt.1062253.

Vancouver

1.Sevcan Bulut, Aykut Or. I-Statistical Rough Convergence of Order α. JNT. 2022 Mar. 1;(38):34-41. doi:10.53570/jnt.1062253