- pointwise convergence
- поточечная сходимость
Большой англо-русский и русско-английский словарь. 2001.
pointwise convergence
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Pointwise convergence — In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.[1][2] Contents 1 Definition 2 Properties … Wikipedia
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
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Pointwise — In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value f(x) of some function f. An example is pointwise convergence of functions mdash; a sequence of functions :{f n}… … Wikipedia
pointwise — /poynt wuyz /, adj. Math. occurring at each point of a given set: pointwise convergence. [1535 45; POINT + WISE] * * * … Universalium
pointwise — /poynt wuyz /, adj. Math. occurring at each point of a given set: pointwise convergence. [1535 45; POINT + WISE] … Useful english dictionary
Modes of convergence — In mathematics, there are many senses in which a sequence or a series is said to be convergent. This article describes various modes (senses or species) of convergence in the settings where they are defined. For a list of modes of convergence,… … Wikipedia
Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… … Wikipedia
Modes of convergence (annotated index) — The purpose of this article is to serve as an annotated index of various modes of convergence and their logical relationships. For an expository article, see Modes of convergence. Simple logical relationships between different modes of… … 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
Wijsman convergence — In mathematics, Wijsman convergence is a notion of convergence for sequences (or, more generally, nets) of closed subsets of metric spaces, named after the mathematician Robert Wijsman. Intuitively, Wijsman convergence is to convergence in the… … Wikipedia
