Research Article

Deferred Statistical $r$-Convergence of Sequences of Sets

Volume: 13 Number: 2 October 31, 2025
EN

Deferred Statistical $r$-Convergence of Sequences of Sets

Abstract

In the present paper, we introduce and study the concept of Wijsman deferred statistical $r$-convergence of sequences of sets and have its characterization in terms of deferred statistically dense subsequences. Beside this, we explore the concept of strongly deferred Cesàro summability and its relation with the newly introduced notion of Wijsman deferred statistical $r$-convergence.

Keywords

References

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  3. [3] S. Aytar, Rough statistical convergence, Numer. Funct. Anal. Optim., 29(3-4) (2008), 291-303.
  4. [4] E. Bayram, A. Aydin and M. Kucukaslan, Weighted statistical rough convergence in normed spaces, Maejo Int. J. Sci. Technol., 18(2) (2024), 178-192.
  5. [5] V. K. Bhardwaj and S. Dhawan, Density by moduli and Wijsman lacunary statistical convergence of sequences of sets, J. Ineq. Appl., 2017, 1-20.
  6. [6] R. C. Buck, Generalized asymptotic density, Amer. J. Math., 75(2) (1953), 335-346.
  7. [7] A. Esi, N. L. Braha and A. Rushiti, Wijsman l-statistical convergence of interval numbers, Bol. Soc. Parana. Mat., 35 (2017), 9-18.
  8. [8] M. Et and M. C. Yilmazer, On deferred statistical convergence of sequences of sets, AIMS Mathematics, 5(3) (2020), 2143-2152.

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Publication Date

October 31, 2025

Submission Date

November 9, 2024

Acceptance Date

May 8, 2025

Published in Issue

Year 2025 Volume: 13 Number: 2

APA
Sharma, N., & Kumar, S. (2025). Deferred Statistical $r$-Convergence of Sequences of Sets. Konuralp Journal of Mathematics, 13(2), 125-133. https://izlik.org/JA94LT62AY
AMA
1.Sharma N, Kumar S. Deferred Statistical $r$-Convergence of Sequences of Sets. Konuralp J. Math. 2025;13(2):125-133. https://izlik.org/JA94LT62AY
Chicago
Sharma, Naveen, and Sandeep Kumar. 2025. “Deferred Statistical $r$-Convergence of Sequences of Sets”. Konuralp Journal of Mathematics 13 (2): 125-33. https://izlik.org/JA94LT62AY.
EndNote
Sharma N, Kumar S (October 1, 2025) Deferred Statistical $r$-Convergence of Sequences of Sets. Konuralp Journal of Mathematics 13 2 125–133.
IEEE
[1]N. Sharma and S. Kumar, “Deferred Statistical $r$-Convergence of Sequences of Sets”, Konuralp J. Math., vol. 13, no. 2, pp. 125–133, Oct. 2025, [Online]. Available: https://izlik.org/JA94LT62AY
ISNAD
Sharma, Naveen - Kumar, Sandeep. “Deferred Statistical $r$-Convergence of Sequences of Sets”. Konuralp Journal of Mathematics 13/2 (October 1, 2025): 125-133. https://izlik.org/JA94LT62AY.
JAMA
1.Sharma N, Kumar S. Deferred Statistical $r$-Convergence of Sequences of Sets. Konuralp J. Math. 2025;13:125–133.
MLA
Sharma, Naveen, and Sandeep Kumar. “Deferred Statistical $r$-Convergence of Sequences of Sets”. Konuralp Journal of Mathematics, vol. 13, no. 2, Oct. 2025, pp. 125-33, https://izlik.org/JA94LT62AY.
Vancouver
1.Naveen Sharma, Sandeep Kumar. Deferred Statistical $r$-Convergence of Sequences of Sets. Konuralp J. Math. [Internet]. 2025 Oct. 1;13(2):125-33. Available from: https://izlik.org/JA94LT62AY
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