Affiliations: Department of Mathematics, Siirt University, Siirt, Turkey | Department of Mathematics, Firat University, Elazığ, Turkey
Note: [] Corresponding author. Yavuz Altın, Department of Mathematics, Firat University, 23119 Elazığ, Turkey. Tel.: +90 424 2370000; Fax: +90 424 2330062; E-mail: [email protected]
Abstract: In this article we introduce the concepts of $\Delta_{\lambda}^{m}-$statistical convergence of order β and strong $\Delta_{\lambda_{p}}^{m}-$summability of order β for sequences of fuzzy numbers. Also, we establish some relations between the $\Delta_{\lambda}^{m}-$statistical convergence of order β and strong $\Delta_{\lambda_{p}}^{m}-$summability of order β and we define $w_{\lambda}^{\beta}\left(\Delta^{m},\mathcal{F},f,p\right)$, where $f$ is a modulus function and give some inclusion relations.
Keywords: Fuzzy number, statistical convergence, Cesàro summability, modulus function
