Results 91 to 99 of about 326,752 (99)

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, Shin Asahina   +2 more
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The Egoroff theorem for non-additive measures in Riesz spaces

Fuzzy Sets and Systems, 2006
For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
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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
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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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Measure Riesz spaces and the Egoroff theorem

1970
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