On 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

Correspondence: [*] Corresponding author. İbrahim Çanak, Department of Mathematics, Ege University, İzmir, Turkey. Tel.: +90 232 3115418; Fax: +90 232 3881036; E-mail: [email protected].

Abstract: In this paper, we show under which conditions the limit of the distance between nth term of a sequence of fuzzy numbers and nth term of its Cesàro mean of order one tends to zero. As corollaries we prove several Tauberian theorems for Cesàro summability of sequences of fuzzy numbers.

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

DOI: 10.3233/IFS-151999

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2657-2662, 2016