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Saha, Sangita
- New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function
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Authors
Sangita Saha
1,
Santanu Roy
1
Affiliations
1 Department of Mathematics, National Institute of Technology, Silchar, Assam, IN
1 Department of Mathematics, National Institute of Technology, Silchar, Assam, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 411-421Abstract
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.Keywords
Triple Sequence of Fuzzy Numbers, Statistical Convergence, Statistically Pre-Cauchy Triple Sequence, Orlicz Function, Cesaro Summability.
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