Tauberian theorems for statistically convergent double sequences of fuzzy numbers

Article type: Research Article

Authors: Talo, Özer^* | Bayazit, Funda

Affiliations: Department of Mathematics, Faculty of Science and Letters, Celal Bayar University, Manisa, Turkey

Correspondence: [*] Corresponding author. Özer Talo, Department of Mathematics, Faculty of Science and Letters, Celal Bayar University, Manisa, Turkey. Tel.: +90 236 201 32 12; E-mail: ozer.talo@cbu.edu.tr.

Abstract: In this paper, we introduce slow oscillation and Hardy’s two-sided Tauberian conditions for double sequences in n-dimensional fuzzy number space En. Besides, slow decrease and Landau’s one-sided Tauberian conditions for double sequences in E1 are presented. Under these conditions we also prove Tauberian theorems for statistically convergent double sequences of fuzzy numbers.

Keywords: Double sequence, statistical convergence, fuzzy number, Tauberian conditions

DOI: 10.3233/JIFS-16573

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2617-2624, 2017