The sets of α,β-statistically convergent and α,β-statistically bounded sequences of order γ defined by modulus functions

In this research paper, our aim is to introduce the concepts of α , β -statistical convergence of order γ and α , β -statistical boundedness of order γ by using unbounded modulus functions in metric spaces. Furthermore, we obtain some relations between these concepts, and we provide some counterexam...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo Vol. 73; no. 4; pp. 1507 - 1521
Main Authors: S. Ibrahim, Ibrahim, Listán-García, María C.
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.06.2024
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
density
40A35
statistical boundedness
46A45
statistical convergence
40A05
Modulus function
ISSN:0009-725X, 1973-4409
Online Access:Get full text
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Summary:In this research paper, our aim is to introduce the concepts of α , β -statistical convergence of order γ and α , β -statistical boundedness of order γ by using unbounded modulus functions in metric spaces. Furthermore, we obtain some relations between these concepts, and we provide some counterexamples to support our results.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-00998-5