Results 101 to 110 of about 327,917 (135)
Further Results on Lusin’s Theorem for Uncertain Variables
SymmetryIn order to treat the degree of belief rationally, Baoding Liu created uncertainty theory. An uncertain variable, as a measurable function from an uncertainty space to the set of real numbers, is a basic concept in uncertainty theory. It is very meaningful to study its properties.
Feng Hu, Zhaojun Zong
exaly +3 more sources
Some of the next articles are maybe not open access.
Lusin's theorem on fuzzy measure spaces
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masami Yasuda
exaly +3 more sources
Lusin's theorem on monotone measure spaces
Fuzzy Sets and Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar
exaly +4 more sources
METRIC DENSITY AND LUSIN'S THEOREM
Quarterly Journal of Mathematics, 1971G M Petersen
exaly +3 more sources
On a Theorem of Banach and Kuratowski and $K$-Lusin Sets
Rocky Mountain Journal of Mathematics, 2003 In a paper of 1929, Banach and Kuratowski proved, assuming the continuum hypothesis, a combinatorial theorem which implies that there is no non-vanishing sigma-additive finite measure on the real line which is defined for every set of reals. It will be shown that the combinatorial theorem is equivalent to the existence of a K-Lusin set of size the ...
Lorenz Halbeisen, Tomek Bartoszyński
exaly +5 more sources
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
openaire +2 more sources
Mathematical Notes, 1978
In [1, 2], Lusin published a theorem (with proof) asserting that a very simple set constructed by him is not Borel. Lunina [3] discovered an error in Lusin's proof. It is proved that Lusin's theorem is nonetheless valid.
V G Kanovei
exaly +3 more sources
In [1, 2], Lusin published a theorem (with proof) asserting that a very simple set constructed by him is not Borel. Lunina [3] discovered an error in Lusin's proof. It is proved that Lusin's theorem is nonetheless valid.
V G Kanovei
exaly +3 more sources
A Quantitative Lusin Theorem for Functions in BV [PDF]
Springer INdAM Series, 2015 We extend to the BV case a measure theoretic lemma previously proved by DiBenedetto et al. (Atti Accad. Naz. Lincei Cl. Sci. Mat. Appl. 9, 223–225, 2006) in W loc 1, 1. It states that if the set where u is positive occupies a sizable portion of an open set E then the set where u is positive clusters about at least one point of E. In this note we follow
Vincenzo Vespri, András Telcs
exaly +3 more sources
ON LUSIN'S THEOREM IN THE ASPECT OF SMALL SYSTEMS
Demonstratio Mathematica, 1995 Let \(S\) be a \(\sigma\)-algebra of subsets of a set \(X\). By a small system a sequence of families \((N_n)_n\subset S\) satisfying some axioms is understood. If \(m\) is a positive measure, then the family \(N_n\) of all sets of a measure less than \(1/n\) can serve as an example.
exaly +2 more sources