Cesaro sum

См. также в других словарях:

• 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

• 1 − 2 + 3 − 4 + · · · — In mathematics, 1 − 2 + 3 − 4 + … is the infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as:sum {n=1}^m n( 1)^{n …   Wikipedia

• Summation of Grandi's series — General considerationstability and linearityThe formal manipulations that lead to 1 − 1 + 1 − 1 + · · · being assigned a value of 1⁄2 include: *Adding or subtracting two series term by term, *Multiplying through by a scalar term by term, *… …   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

• Occurrences of Grandi's series — Main article: Grandi s series Contents 1 Parables 2 Numerical series 3 Power series 4 Fourier series …   Wikipedia

• 1 + 2 + 4 + 8 + · · · — In mathematics, 1 + 2 + 4 + 8 + hellip; is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. :sum {i=0}^{n} 2^i.As a series of real numbers… …   Wikipedia

• Grandi's series — The infinite series 1 − 1 + 1 − 1 + hellip;or:sum {n=0}^{infin} ( 1)^nis sometimes called Grandi s series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent… …   Wikipedia

• Cauchy product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… …   Wikipedia

• 1 − 2 + 3 − 4 + · · · — Série alternée des entiers Les premiers milliers de termes et de sommes partielles de 1 − 2 + 3 − 4 + … La série alternée des entiers est, en mathématiques, la série associée à la suite des nombres entiers (strictement positifs), affectés de… …   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

• 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