Iθ-statistical and p-Cesàro summability of sequences of fuzzy numbers

Article type: Research Article

Authors: Savaş, Ekrem^*

Affiliations: Department of Mathematics, Istanbul Commerce University, Sutluca, Istanbul, Turkey

Correspondence: [*] Corresponding author. Ekrem Savaş, Department of Mathematics, Istanbul Commerce University, Sutluca, Istanbul, Turkey. Tel.: +90 5052542198; E-mail: [email protected].

Abstract: In this paper, following a very recent and new approach of [1, 2], the concept of lacunary strongly p-Cesàro summability of a sequence with order α of fuzzy number is introduced by using ideal. In addition to this concept, inclusion theorems are also presented. The study leaves some interesting open problems.

Keywords: Lacunary sequence, ideal convergence, statistical convergence of order α, fuzzy numbers

DOI: 10.3233/IFS-152066

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2805-2810, 2016