Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space

Reha Yapalı; Husamettin Coşkun

doi:10.33187/jmsm.1127905

EN

Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space

Abstract

On $\mathscr{L}-$ fuzzy normed spaces, which is the generalization of fuzzy spaces, the notion of lacunary statistical convergence for double sequences which is a generalization of statistical convergence, are studied and developed in this paper. In addition, the definitions of lacunary statistical Cauchy and completeness for double sequences and related theorems are given on $\mathscr{L}-$ fuzzy normed spaces. Also, the relationship of lacunary statistical Cauchyness and lacunary statistical boundedness for double sequences with respect to $\mathscr{L}-$ fuzzy norm is shown.

Keywords

L −fuzzy normed space, Lacunary double sequences, Lacunary statistically convergence, Lacunary statistical boundedness, Lacunary statistical Cauchy

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Reha Yapalı ^*
0000-0003-0665-9087
Türkiye

Husamettin Coşkun
0000-0002-2344-9682
Türkiye

Publication Date

April 30, 2023

Submission Date

June 8, 2022

Acceptance Date

August 2, 2022

Published in Issue

Year 2023 Volume: 6 Number: 1

DOI

https://doi.org/10.33187/jmsm.1127905

IZ

https://izlik.org/JA92SU55DD

APA

Yapalı, R., & Coşkun, H. (2023). Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space. Journal of Mathematical Sciences and Modelling, 6(1), 24-31. https://doi.org/10.33187/jmsm.1127905

AMA

1.Yapalı R, Coşkun H. Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space. Journal of Mathematical Sciences and Modelling. 2023;6(1):24-31. doi:10.33187/jmsm.1127905

Chicago

Yapalı, Reha, and Husamettin Coşkun. 2023. “Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space”. Journal of Mathematical Sciences and Modelling 6 (1): 24-31. https://doi.org/10.33187/jmsm.1127905.

EndNote

Yapalı R, Coşkun H (April 1, 2023) Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space. Journal of Mathematical Sciences and Modelling 6 1 24–31.

IEEE

[1]R. Yapalı and H. Coşkun, “Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space”, Journal of Mathematical Sciences and Modelling, vol. 6, no. 1, pp. 24–31, Apr. 2023, doi: 10.33187/jmsm.1127905.

ISNAD

Yapalı, Reha - Coşkun, Husamettin. “Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space”. Journal of Mathematical Sciences and Modelling 6/1 (April 1, 2023): 24-31. https://doi.org/10.33187/jmsm.1127905.

JAMA

1.Yapalı R, Coşkun H. Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space. Journal of Mathematical Sciences and Modelling. 2023;6:24–31.

MLA

Yapalı, Reha, and Husamettin Coşkun. “Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space”. Journal of Mathematical Sciences and Modelling, vol. 6, no. 1, Apr. 2023, pp. 24-31, doi:10.33187/jmsm.1127905.

Vancouver

1.Reha Yapalı, Husamettin Coşkun. Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space. Journal of Mathematical Sciences and Modelling. 2023 Apr. 1;6(1):24-31. doi:10.33187/jmsm.1127905