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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 1, Pages 72–86
DOI: https://doi.org/10.15393/j3.art.2023.11890
(Mi pa369)
 

This article is cited in 2 scientific papers (total in 2 papers)

A new approach to Egorov's theorem by means of $\alpha\beta$-statistical ideal convergence

Sonali Sharma, Kuldip Raj

School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
References:
Abstract: In this work, we introduce the $\alpha\beta$-statistical pointwise ideal convergence, $\alpha\beta$-statistical uniform ideal convergence, and $\alpha\beta$-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 $\alpha\beta$-statistical ideal version of Egorov's theorem for the sequences of fuzzy valued measurable functions.
Keywords: Egorov's theorem, $\alpha\beta$-statistical pointwise ideal convergence, $\alpha\beta$-statistical uniform ideal convergence, $\alpha\beta$-statistical equi-ideal convergence.
Funding agency
The authors deeply appreciate the suggestions of the reviewers and the editor that improved the paper.
Received: 26.05.2022
Revised: 06.10.2022
Accepted: 12.10.2022
Bibliographic databases:
Document Type: Article
UDC: 510.22
Language: Russian
Citation: Sonali Sharma, Kuldip Raj, “A new approach to Egorov's theorem by means of $\alpha\beta$-statistical ideal convergence”, Probl. Anal. Issues Anal., 12(30):1 (2023), 72–86
Citation in format AMSBIB
\Bibitem{ShaRaj23}
\by Sonali~Sharma, Kuldip~Raj
\paper A new approach to Egorov's theorem by means of $\alpha\beta$-statistical ideal convergence
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 1
\pages 72--86
\mathnet{http://mi.mathnet.ru/pa369}
\crossref{https://doi.org/10.15393/j3.art.2023.11890}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582293}
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  • https://www.mathnet.ru/eng/pa/v30/i1/p72
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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