New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function
Authors
-
Department of Mathematics, National Institute of Technology, Silchar; Assam ,IN
Sangita Saha -
Department of Mathematics, National Institute of Technology, Silchar; Assam ,INSantanu Roy
DOI:
https://doi.org/10.18311/jims/2018/21408Keywords:
Triple Sequence of Fuzzy Numbers, Statistical Convergence, Statistically Pre-Cauchy Triple Sequence, Orlicz Function, Cesaro SummabilityAbstract
In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.
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Copyright (c) 2018 Sangita Saha, Santanu Roy
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2018-06-01
Published 2018-06-01
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