The minimal $f^g$-statistical convergence and Cauchy degree of a sequence

In this paper, we introduce and characterize the rough $f^g$-statistical limit set, minimal $f^g$-statistical convergence degree, and minimal $f^g$-statistical Cauchy degree of a sequence in an arbitrary normed space. We clarify these concepts for normed spaces of any dimension and explore their properties and relationships. Our findings offer a new perspective that differs from some established results.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-04-11
DOI
https://doi.org/10.15672/hujms.1589077
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

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article

The minimal $f^g$-statistical convergence and Cauchy degree of a sequence

Tamim Aziz, Sanjoy Ghosal
Hacettepe Journal of Mathematics and Statistics
Approximation Theory and Sequence Spaces
article

The minimal $f^g$-statistical convergence and Cauchy degree of a sequence

Tamim Aziz, Sanjoy Ghosal
article en

Abstract

In this paper, we introduce and characterize the rough $f^g$-statistical limit set, minimal $f^g$-statistical convergence degree, and minimal $f^g$-statistical Cauchy degree of a sequence in an arbitrary normed space. We clarify these concepts for normed spaces of any dimension and explore their properties and relationships. Our findings offer a new perspective that differs from some established results.

Hacettepe Journal of Mathematics and StatisticsVol. 54(6)
North Bengal University (IN)
Council of Scientific and Industrial Research, India, Human Resource Development Group, Division of Human Resource Development
Openalex Percentile: Top 92%
Approximation Theory and Sequence Spaces
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