Results 51 to 60 of about 84 (62)

On sufficient condition for the Egoroff theorem of an ordered vector space-valued non-additive measure

Fuzzy Sets and Systems, 2010
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On sufficient conditions for the Egoroff theorem of an ordered topological vector space-valued non-additive measure

Fuzzy Sets and Systems, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Counter-Example Concerning Egoroff's Theorem

Journal of the London Mathematical Society, 1959
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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor's theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized.
Jun Li 0014, Masami Yasuda
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A Remark on the Theorems of Lusin and Egoroff

Canadian Mathematical Bulletin, 1964
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.
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Generalized Egoroff’s theorem

Tatra Mountains Mathematical Publications, 2009
Abstract This note is closely related to the paper [R. Pinciroli: On theindependence of a generalized statement of Egoroff’s theorem from ZFC afterT. Weiss, Real Anal. Exchange 32 (2006-2007), 225-232] and it presents slight improvements of its results.
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The Theorems of Lusin and Egoroff

1971
A real-valued function f on R is called measurable if f−1(U) is measurable for every open set U in R. f is said to have the property of Baire if f −1 (U) has the property of Baire for every open set U in R. In either definition, U may be restricted to some base, or allowed to run over all Borel sets.
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Some remarks on Egoroff's theorem

2015
The author defines the uniform convergence of sequences of functions with respect to so-called small systems. The notion of small systems was introduced by \textit{T. Neubrunn} and \textit{B. Riečan} in their book [Measure and integral (Slovak) (Bratislava 1981; Zbl 0485.28001)].
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Lebesgue's theorem and Egoroff's theorem for complex uncertain sequences

In this paper, within framework uncertain theory, we investigate Lebesgue’s theorem, Egoroff’s theorem and Riesz’s theorem for complex uncertain sequences. © 2024 Elsevier B.V., All rights reserved.
Kişi, Ömer, Gürdal, Mehmet, Kişi, Ömer, Kişi, Ömer   +3 more
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A further investigation for Egoroff's theorem with respect to monotone set functions.

Kybernetika, 2003
Summary: In this paper we investigate Egoroff's theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff's theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff's theorem for non-additive measure is formulated in full generality.
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