Double Wijsman asymptotically statistical equivalence of order α

Article type: Research Article

Authors: Gülle, Esra^{; *}

Affiliations: 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: In this paper, we study the concepts of Wijsman asymptotically statistical equivalence of order α, Wijsman asymptotically strongly p-Cesàro equivalence of order α and Hausdorff asymptotically statistical equivalence of order α for double set sequences. Also, we research some properties of these concepts and give the inclusion relationships between them.

Keywords: Asymptotic equivalence, statistical convergence, Cesàro summability, order α, Wijsman convergence, Hausdorff convergence, double set sequences

DOI: 10.3233/JIFS-190796

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 2081-2087, 2020