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Conditions for Egoroff's theorem in non-additive measure theory
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A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
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New conditions for the Egoroff theorem in non-additive measure theory
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Frullani integrals and variants of the Egoroff theorem on essentially uniform convergence
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ON EGOROFF'S THEOREM FOR NON-ADDITIVE MULTI MEASURES (Nonlinear Analysis and Convex Analysis)
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A Remark on the Theorems of Lusin and Egoroff
In this note we do not intend to establish new results but only to suggest a very simple proof of Lusin's theorem, direct for σ-finite regular measures, a proof that bypasses the usual procedure of first establishing this theorem for sets of finite measure only.
Elias Zakon
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On Egoroff's theorems on fuzzy measure spaces [PDF]
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Li, Jun
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Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences
Journal of Intelligent & Fuzzy Systems, 2022Complex uncertain variables are measurable functions from uncertainty spaces to the set of complex numbers and are used to model complex uncertain quantities. In this paper, we investigate Egoroff’s theorem and Lusin’s theorem for complex uncertain sequences. For studying these theorems, we introduce two concepts: strongly order continuous and regular.
Yu Tian, Zhaojun Zong, Feng Hu 0002
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