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.
Citation:
Sonali Sharma, Kuldip Raj, “A new approach to Egorov's theorem by means of αβ-statistical ideal convergence”, Probl. Anal. Issues Anal., 12(30):1 (2023), 72–86
\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}
Linking options:
https://www.mathnet.ru/eng/pa369
https://www.mathnet.ru/eng/pa/v30/i1/p72
This publication is cited in the following 2 articles:
Ibrahim S. Ibrahim, María C. Listán-García, “The sets of $\left( \alpha ,\beta \right) $-statistically convergent and $\left( \alpha ,\beta \right) $-statistically bounded sequences of order $\gamma $ defined by modulus functions”, Rend. Circ. Mat. Palermo, II. Ser, 2024
J. Sahoo, B. B. Jena, S. K. Paikray, “On strong summability of the Fourier series via deferred Riesz mean”, Probl. anal. Issues Anal., 13(31):2 (2024), 128–143