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Neutrosophic Sets and Systems
Article . 2023
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Neutrosophic 2−normed spaces and generalized summability

Authors: Sajid Murtaza; Archana Sharma; Vijay Kumar;

Neutrosophic 2−normed spaces and generalized summability

Abstract

The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces. We construct examples to demonstrate that statistical convergence is stronger method than usual convergence. Finally, we define statistically Cauchy sequence, statistical completeness and obtain the Cauchy convergence criteria.

Keywords

Neutrosophic norm spaces, statistical convergence, statistical completeness, neutrosophic 2-norm spaces., neutrosophic norm spaces, Electronic computers. Computer science, neutrosophic 2-norm spaces, QA1-939, statistical completeness, statistical convergence, QA75.5-76.95, Mathematics

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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