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

Sonali Sharma ; Kuldip Raj

Problemy analiza, Tome 12 (2023) no. 1, pp. 72-86.

Résumé

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.

Détail

Keywords: Egorov's theorem, $\alpha\beta$-statistical pointwise ideal convergence, $\alpha\beta$-statistical uniform ideal convergence, $\alpha\beta$-statistical equi-ideal convergence.

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