Tauberian theorems for Cesàro summability of sequences of fuzzy numbers

Article type: Research Article

Authors: Çanak, İbrahim

Affiliations: Department of Mathematics, Ege University, İzmir, Turkey

Note: [] Corresponding author. İbrahim Çanak, Department of Mathematics, Ege University, İzmir 35100, Turkey. Tel.: +90 232 3115418; Fax: +90 232 3881036; E-mail: ibrahimcanak@yahoo.com

Abstract: In this paper we use the concept of the Cesàro convergence of a sequence of fuzzy numbers defined by Subrahmanyam [Cesàro summability of fuzzy real numbers, Anal, 7 (1999), 159–168] to prove some Tauberian theorems for sequences of fuzzy numbers and obtain fuzzy analogues of some classical Tauberian theorems for Cesàro summability of sequences of fuzzy numbers as a corollary.

Keywords: Fuzzy numbers, sequences of fuzzy numbers, Cesàro summability

DOI: 10.3233/IFS-131053

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 937-942, 2014