Results 51 to 60 of about 84 (62)

New Conditions for the Egoroff Theorem in Non-Additive Measure Theory

Advances in Intelligent and Soft Computing, 2010
This paper gives a new necessary condition and a new sufficient condition for the Egoroff theorem in non-additive measure theory. The new necessary condition is condition (M), which is newly defined in this paper, and the new sufficient condition is the conjunction of null continuity and condition (M).
Toshiaki Murofushi
exaly   +3 more sources

A New Necessary and Sufficient Condition for the Egoroff Theorem in Non-Additive Measure Theory

Fuzzy Sets and Systems, 2014
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Masayuki Takahashi, Toshiaki Murofushi
exaly   +3 more sources

On Sufficient Condition for the Egoroff Theorem of an Ordered Vector Space-Valued Non-Additive Measure

Fuzzy Sets and Systems, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

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.
exaly   +3 more sources

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.
openaire   +1 more source

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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A Counter-Example Concerning Egoroff's Theorem

Journal of the London Mathematical Society, 1959
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