- Lebesgue theorem
- теорема f Лебега
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Lebesgue theorem
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Fatou–Lebesgue theorem — In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior… … Wikipedia
Borel-Lebesgue theorem — /baw rel leuh beg , beuh /, Math. See Heine Borel theorem. [1950 55; named after F.E.E. BOREL and H. LEBESGUE] * * * … Universalium
Borel-Lebesgue theorem — /baw rel leuh beg , beuh /, Math. See Heine Borel theorem. [1950 55; named after F.E.E. BOREL and H. LEBESGUE] … Useful english dictionary
Lebesgue covering dimension — or topological dimension is one of several inequivalent notions of assigning a topological invariant dimension to a given topological space. Contents 1 Definition 2 Examples 3 Properties 4 … Wikipedia
Lebesgue integration — In mathematics, the integral of a non negative function can be regarded in the simplest case as the area between the graph of that function and the x axis. Lebesgue integration is a mathematical construction that extends the integral to a larger… … Wikipedia
Lebesgue differentiation theorem — In mathematics, the Lebesgue differentiation theorem is a theorem of real analysis.tatementFor a Lebesgue integrable real valued function f, the indefinite integral is a set function which maps a measurable set A to the Lebesgue integral of f… … Wikipedia
Lebesgue measure — In mathematics, the Lebesgue measure, named after Henri Lebesgue, is the standard way of assigning a length, area or volume to subsets of Euclidean space. It is used throughout real analysis, in particular to define Lebesgue integration. Sets… … Wikipedia
Lebesgue's density theorem — In mathematics, Lebesgue s density theorem states that for any Lebesgue measurable set A, the density of A is 1 at almost every point in A. Intuitively, this means that the edge of A, the set of points in A whose neighborhood is partially in A… … Wikipedia
Lebesgue's decomposition theorem — In mathematics, more precisely in measure theory, Lebesgue s decomposition theorem is a theorem which states that given mu and u two sigma; finite signed measures on a measurable space (Omega,Sigma), there exist two sigma; finite signed measures… … Wikipedia
Lebesgue-Stieltjes integration — In measure theoretic analysis and related branches of mathematics, Lebesgue Stieltjes integration generalizes Riemann Stieltjes and Lebesgue integration, preserving the many advantages of the latter in a more general measure theoretic framework.… … Wikipedia
Lebesgue, Henri-Léon — ▪ French mathematician born June 28, 1875, Beauvais, France died July 26, 1941, Paris French mathematician whose generalization of the Riemann integral (analysis) revolutionized the field of integration. Lebesgue was maître de conférences… … Universalium
