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

DOI10.15393/j3.art.2023.11890WikidataQ122204538 ScholiaQ122204538MaRDI QIDQ6169159

Kuldip Raj, Sonali Sharma

Publication date: 10 August 2023

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa369

zbMATH Keywords

Egorov's theorem\( \alpha\beta \)-statistical equi-ideal convergence\( \alpha\beta \)-statistical pointwise ideal convergence\( \alpha\beta \)-statistical uniform ideal convergence

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convergence and divergence of series and sequences of functions (40A30) Fuzzy real analysis (26E50) Ideal and statistical convergence (40A35)

Cites Work

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• The statistical convergence for sequences of fuzzy-number-valued functions
• Generalized statistical convergence and statistical core of double sequences
• Some \(I\)-convergent sequence spaces defined by Orlicz functions
• Ideal convergence of continuous functions
• Statistical convergence and ideal convergence for sequences of functions
• On the ideal convergence of sequences of fuzzy numbers
• \(\mathcal I\)-convergence
• Lacunary statistical convergence in measure for double sequences of fuzzy valued functions
• Korovkin type approximation theorems proved via \({\alpha}{\beta}\)-statistical convergence
• Pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions
• On I-limit points and I-cluster points of sequences of fuzzy numbers
• Fuzzy sets
• Quality control by sampling
• Sur la convergence statistique

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