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Article type: Research Article
Authors: Yavuz, Enes; *
Affiliations: Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey
Correspondence: [*] Corresponding author. Enes Yavuz, Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey. E-mail: [email protected].
Abstract: We define statistical Cesàro and statistical logarithmic summability methods of sequences in intuitionistic fuzzy normed spaces(IFNS) and give slowly oscillating type and Hardy type Tauberian conditions under which statistical Cesàro summability and statistical logarithmic summability imply convergence in IFNS. Besides, we obtain analogous results for the higher order summability methods as corollaries. Also, two theorems concerning the convergence of statistically convergent sequences in IFNS are proved in the paper.
Keywords: Intuitionistic fuzzy normed space, tauberian theorem, cesàro and logarithmic summability methods, statistical convergence, slow oscillation
Keywords: 03E72, 40A05, 40G05, 40G15, 40E05
DOI: 10.3233/JIFS-210596
Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 12433-12442, 2021
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