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Article . 2022
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A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2022 English Publisher:Petrozavodsk State UniversityJournal:Проблемы анализа (issn: 2306-3424, Copyright policy )
Authors: Sonali Sharma; Kuldip Raj;

A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE

Abstract

In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions. With the help of some examples, we present the relationship between these convergence concepts. Moreover, we give the 𝛼𝛽-statistical ideal version of Egorov’s theorem for the sequences of fuzzy valued measurable functions.

Keywords

𝛼𝛽-statistical uniform ideal convergence, 𝛼𝛽-statistical equi-ideal convergence, QA1-939, egorov’s theorem, 𝛼𝛽-statistical pointwise ideal convergence, Mathematics

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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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