- Fatou-Lebesgue theorem
- Математика: теорема Фату-Лебега
Универсальный англо-русский словарь. Академик.ру. 2011.
Fatou-Lebesgue theorem
Смотреть что такое "Fatou-Lebesgue theorem" в других словарях:
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
Fatou's lemma — In mathematics, Fatou s lemma establishes an inequality relating the integral (in the sense of Lebesgue) of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after the French… … Wikipedia
Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… … Wikipedia
Pierre Fatou — Pierre Joseph Louis Fatou (28 February 1878, Lorient – 10 August 1929, Pornichet) was a French mathematician working in the field of complex analytic dynamics. He entered the École Normale Supérieure in Paris in 1898 to study mathematics and… … 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
Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 … Wikipedia
Intégrale de Lebesgue — En mathématiques, l’intégrale de Lebesgue désigne à la fois une théorie relative à l intégration et à la mesure, puis le résultat de l intégration d une fonction à valeurs réelles définie sur (ou sur ), munis de la mesure de Lebesgue.… … Wikipédia en Français
Lévy's convergence theorem — In probability theory Lévy s convergence theorem (sometimes also called Lévy s dominated convergence theorem) states that for a sequence of random variables (X n)^infty {n=1} where *X nxrightarrow{a.s.} X and *|X n| < Y, where Y is some random… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
Теорема Лебега о мажорируемой сходимости — У этого термина существуют и другие значения, см. Теорема Лебега. Теорема Лебега о мажорируемой сходимости в функциональном анализе, теории вероятностей и смежных дисциплинах это теорема, утверждающая, что если сходящаяся почти всюду… … Википедия
