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- Title
SOME REMARKS ON GENERALIZED SUMMABILITY USING DIFFERENCE OPERATORS ON NEUTROSOPHIC NORMED SPACES.
- Authors
Sharma, Archana; Kumar, Vijay
- Abstract
For the mth difference operator Δm and the admissible ideal I ⊆ P (N), the purpose of this paper is to introduce generalized summability methods: Δm(IN)--convergence and Δm (IN)--convergence in neutrosophic normed spaces (briefly known as NNS). We develop some basics properties of these notions and find condition on I for which two methods of summability coincides. Finally, we define Δm(IN) --Cauchy sequences in NNS and obtain the Cauchy-convergence criteria in these spaces.
- Subjects
NORMED rings; DIFFERENCE operators; CAUCHY sequences; SUMMABILITY theory
- Publication
Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2022, Vol 9, Issue 2, p153
- ISSN
2319-1023
- Publication type
Article