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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
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.
Received: 26.05.2022 Revised: 06.10.2022 Accepted: 12.10.2022
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
Linking options:
https://www.mathnet.ru/eng/pa369 https://www.mathnet.ru/eng/pa/v30/i1/p72
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Abstract page: | 46 | Full-text PDF : | 38 | References: | 14 |
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