- Cesaro mean
- Математика: чезаровское среднее (ряда)
Универсальный англо-русский словарь. Академик.ру. 2011.
Cesaro mean
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Cesàro mean — In mathematics, the Cesàro means (also called Cesàro averages) of a sequence (an) are the terms of the sequence (cn), where is the arithmetic mean of the first n elements of (an). [1]:96 This concept is named after Ernesto Cesàro (1859 1906). A… … Wikipedia
Cesàro summation — For the song Cesaro Summability by the band Tool, see Ænima. In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is… … Wikipedia
Mean — This article is about the statistical concept. For other uses, see Mean (disambiguation). In statistics, mean has two related meanings: the arithmetic mean (and is distinguished from the geometric mean or harmonic mean). the expected value of a… … Wikipedia
Ernesto Cesàro — Born March 12, 1859(1859 03 12) Naples, Italy … Wikipedia
Stolz-Cesàro theorem — In mathematics, the Stolz Cesàro theorem is a criterion for proving the convergence of a sequence.Let (a n) {n geq 1} and (b n) {n geq 1} be two sequences of real numbers. Assume that b n is positive, strictly increasing and unbounded and the… … Wikipedia
Riesz mean — In mathematics, the Riesz mean is a certain mean of the terms in a series. They were introduced by Marcel Riesz in 1911 as an improvement over the Cesàro meanref|Rie11ref|Hard16. The Riesz mean should not be confused with the Bochner Riesz mean… … Wikipedia
List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
Fejér's theorem — In mathematics, Fejér s theorem, named for Hungarian mathematician Lipót Fejér, states that if f :R rarr; C is a continuous function with period 2 pi;, then the sequence ( sigma; n ) of Cesàro means of the sequence ( s n ) of partial sums of the… … 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
Divergent series — In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit. If a series converges, the individual terms of the series must approach… … Wikipedia
