Deferred Cesàro summability and statistical convergence for double sequences of sets

Article type: Research Article

Authors: Ulusu, Uğur^a | Gülle, Esra^{b; *}

Affiliations: [a] Sivas Cumhuriyet University, Sivas,Turkey | [b] Department of Mathematics,Afyon Kocatepe University, Afyonkarahisar,Turkey

Correspondence: [*] Corresponding author. Esra Gülle, Department of Mathematics, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey. E-mail: egulle@aku.edu.tr.

Abstract: The main purpose of this paper is introduced the concept of deferred Cesàro mean in the Wijsman sense for double sequences of sets and then presented the concepts of strongly deferred Cesàro summability and deferred statistical convergence in the Wijsman sense for double sequences of sets. Also, investigate the relationships between these concepts and then to prove some theorems associated with the concepts of deferred statistical convergence in the Wijsman sense for double sequences of sets is purposed.

Keywords: Deferred Cesàro summability, deferred statistical convergence, double sequences of sets, convergence in the Wijsman sense

DOI: 10.3233/JIFS-212486

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 4, pp. 4095-4103, 2022