Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence

Nimet Pancaroğlu Akın; Erdinç Dündar

doi:10.36753/mathenot.1330281

EN

Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence

Abstract

In this paper, we defined the concepts of lacunary $\mathcal{I}^{\ast}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. We investigated the relations between strongly lacunary $\mathcal{I}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. Also, we defined the concept of strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence and investigated the relations between strongly lacunary $\mathcal{I}$-Cauchy sequence and strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence.

Keywords

Ideal, Lacunary sequence, $\mathcal{I}$-Convergence, $\mathcal{I}$-Cauchy Sequence

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Nimet Pancaroğlu Akın ^*
0000-0003-2886-3679
Türkiye

Erdinç Dündar
0000-0002-0545-7486
Türkiye

Early Pub Date

November 2, 2023

Publication Date

January 28, 2024

Submission Date

July 20, 2023

Acceptance Date

September 13, 2023

Published in Issue

Year 2024 Volume: 12 Number: 1

DOI

https://doi.org/10.36753/mathenot.1330281

IZ

https://izlik.org/JA97LW97HX

APA

Pancaroğlu Akın, N., & Dündar, E. (2024). Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence. Mathematical Sciences and Applications E-Notes, 12(1), 20-27. https://doi.org/10.36753/mathenot.1330281

AMA

1.Pancaroğlu Akın N, Dündar E. Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence. Math. Sci. Appl. E-Notes. 2024;12(1):20-27. doi:10.36753/mathenot.1330281

Chicago

Pancaroğlu Akın, Nimet, and Erdinç Dündar. 2024. “Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence”. Mathematical Sciences and Applications E-Notes 12 (1): 20-27. https://doi.org/10.36753/mathenot.1330281.

EndNote

Pancaroğlu Akın N, Dündar E (January 1, 2024) Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence. Mathematical Sciences and Applications E-Notes 12 1 20–27.

IEEE

[1]N. Pancaroğlu Akın and E. Dündar, “Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence”, Math. Sci. Appl. E-Notes, vol. 12, no. 1, pp. 20–27, Jan. 2024, doi: 10.36753/mathenot.1330281.

ISNAD

Pancaroğlu Akın, Nimet - Dündar, Erdinç. “Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence”. Mathematical Sciences and Applications E-Notes 12/1 (January 1, 2024): 20-27. https://doi.org/10.36753/mathenot.1330281.

JAMA

1.Pancaroğlu Akın N, Dündar E. Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence. Math. Sci. Appl. E-Notes. 2024;12:20–27.

MLA

Pancaroğlu Akın, Nimet, and Erdinç Dündar. “Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence”. Mathematical Sciences and Applications E-Notes, vol. 12, no. 1, Jan. 2024, pp. 20-27, doi:10.36753/mathenot.1330281.

Vancouver

1.Nimet Pancaroğlu Akın, Erdinç Dündar. Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence. Math. Sci. Appl. E-Notes. 2024 Jan. 1;12(1):20-7. doi:10.36753/mathenot.1330281