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http://dx.doi.org/10.14317/jami.2021.303

DOUBLE WIJSMAN LACUNARY STATISTICAL CONVERGENCE OF ORDER 𝛼  

GULLE, ESRA (Department of Mathematics, Afyon Kocatepe University)
ULUSU, UGUR (Sivas Cumhuriyet University)
Publication Information
Journal of applied mathematics & informatics / v.39, no.3_4, 2021 , pp. 303-319 More about this Journal
Abstract
In this paper, we introduce the concepts of Wijsman strongly p-lacunary summability of order 𝛼, Wijsman lacunary statistical convergence of order 𝛼 and Hausdorff lacunary statistical convergence of order 𝛼 for double set sequences. Also, we investigate some properties of these new concepts and examine the existence of some relationships between them. Furthermore, we study the relationships between these new concepts and some concepts in the literature.
Keywords
Double set sequences; Wijsman convergence; Hausdorff convergence; Lacunary summability; Statistical convergence; Order ${\alpha}$;
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