Euler summability method of sequences of fuzzy numbers and a Tauberian theorem

Article type: Research Article

Authors: Yavuz, Enes^*

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

Correspondence: [*] Corresponding author. Enes Yavuz, Department of Mathematics, Faculty of Science and Letters, Celal Bayar University, 45040 Manisa, Turkey. Tel.: +90 236 201 32 31; E-mail: enes.yavuz@cbu.edu.tr.

Abstract: We introduce Euler summability method for sequences of fuzzy numbers and state a Tauberian theorem concerning Euler summability method, of which proof provides an alternative to that of K. Knoop[Über das Eulersche Summierungsverfahren II, Math. Z. 18 (1923)] when the sequence is of real numbers. As corollaries, we extend the obtained results to series of fuzzy numbers.

Keywords: Sequences of fuzzy numbers, Euler summability method, Tauberian theorems

DOI: 10.3233/JIFS-161429

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 937-943, 2017