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Mathematics
Volume 13
Issue 3
10.3390/math13030463
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α

by
Fernando León-Saavedra
1,*,
Mikail Et
2 and
Fatih Temizsu
3
1
Department of Mathematics and INDESS, University of Cádiz, Avda. de la Universidad s/n, 11403 Jerez de la Frontera, Spain
2
Department of Mathematics, Firat University, Elazıg 23119, Turkey
3
Department of Mathematics, Bingöl University, Bingöl 12000, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(3), 463; https://doi.org/10.3390/math13030463
Submission received: 31 December 2024 / Revised: 22 January 2025 / Accepted: 23 January 2025 / Published: 30 January 2025
(This article belongs to the Special Issue Summability and Convergence Methods)
Versions Notes

Abstract

Studies on difference sequences was introduced in the 1980s, and since then, many mathematicians have studied this kind of sequences and obtained some generalized difference sequence spaces. In this paper, using the generalized difference operator, we introduce the concept of the deferred f-statistical convergence of generalized difference sequences of the order α and give some inclusion relations between the deferred f-statistical convergence of generalized difference sequences and deferred f-statistical convergence of generalized difference sequences of the order α. Our results are more general than the corresponding results in the existing literature.
Keywords: difference sequence; deferred statistical convergence; statistical convergence of the order α difference sequence; deferred statistical convergence; statistical convergence of the order α

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MDPI and ACS Style

León-Saavedra, F.; Et, M.; Temizsu, F. Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α. Mathematics 2025, 13, 463. https://doi.org/10.3390/math13030463

AMA Style

León-Saavedra F, Et M, Temizsu F. Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α. Mathematics. 2025; 13(3):463. https://doi.org/10.3390/math13030463

Chicago/Turabian Style

León-Saavedra, Fernando, Mikail Et, and Fatih Temizsu. 2025. "Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α" Mathematics 13, no. 3: 463. https://doi.org/10.3390/math13030463

APA Style

León-Saavedra, F., Et, M., & Temizsu, F. (2025). Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α. Mathematics, 13(3), 463. https://doi.org/10.3390/math13030463

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