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

Fernando León-Saavedra (), Mikail Et and Fatih Temizsu
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Fernando León-Saavedra: Department of Mathematics and INDESS, University of Cádiz, Avda. de la Universidad s/n, 11403 Jerez de la Frontera, Spain
Mikail Et: Department of Mathematics, Firat University, Elazıg 23119, Turkey
Fatih Temizsu: Department of Mathematics, Bingöl University, Bingöl 12000, Turkey

Mathematics, 2025, vol. 13, issue 3, 1-14

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 ? (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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