- convergence theorem
- мат.теорема сходимости
English-Russian scientific dictionary. 2008.
convergence theorem
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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
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
Autonomous convergence theorem — In mathematics, an autonomous convergence theorem is one of a family of related theorems which give conditions for global asymptotic stability of a continuous dynamical system.HistoryThe Markus Yamabe conjecture was formulated as an attempt to… … Wikipedia
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
Vitali convergence theorem — In mathematics, the Vitali convergence theorem is a generalization of the more well known dominated convergence theorem of Lebesgue. It is useful when a dominating function cannot be found for the sequence of functions in question; when such a… … Wikipedia
Convergence in measure — can refer to two distinct mathematical concepts which both generalize the concept of convergence in probability. Contents 1 Definitions 2 Properties 3 Counterexamples 4 Topology … Wikipedia
Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to … Wikipedia
Convergence De Variables Aléatoires — Dans la théorie des probabilités, il existe différentes notions de convergence de variables aléatoires. La convergence (dans un des sens décrits ci dessous) de suites de variables aléatoires est un concept important de la théorie des probabilités … Wikipédia en Français
Convergence de variables aleatoires — Convergence de variables aléatoires Dans la théorie des probabilités, il existe différentes notions de convergence de variables aléatoires. La convergence (dans un des sens décrits ci dessous) de suites de variables aléatoires est un concept… … Wikipédia en Français
Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… … Wikipedia
Convergence de variables aléatoires — Dans la théorie des probabilités, il existe différentes notions de convergence de variables aléatoires. La convergence (dans un des sens décrits ci dessous) de suites de variables aléatoires est un concept important de la théorie des probabilités … Wikipédia en Français
