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Journal of Classical Analysis
Article . 2025 . Peer-reviewed
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Journal of Classical Analysis
Article . 2024 . Peer-reviewed
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Article . 2025
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Four dimensional matrix summability of double sequence of sets with respect to modulus function

Authors: Dafadar, Alauddin;

Four dimensional matrix summability of double sequence of sets with respect to modulus function

Abstract

Summary: In this article, we have extended the idea of strong Cesaro summability to the idea of strong \(T\)-summability of double sequence of closed sets with respect to modulus function, when \(T\) is non-negative regular four dimensional matrix summability method. We also show that strongly \(T\)-summable sequence of closed set is \(T\)-statistically convergent and that \(T\) statistically convergence is equivalent to strong \(T\)-summability with respect to modulus function on bounded sequence of closed sets.

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Keywords

strong Cesaro summability, sequence of sets, Wijsman convergence, regular matrix, Convergence and divergence of series and sequences, modulus function, strong \(T\)-summability, Multiple sequences and series

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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