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convergent improper integral

См. также в других словарях:

  • Improper integral — In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits.Specifically, an… …   Wikipedia

  • convergent — adjective Date: circa 1751 1. tending to move toward one point or to approach each other ; converging < convergent lines > 2. exhibiting convergence in form, function, or development < convergent evolution > 3 …   New Collegiate Dictionary

  • Multiple integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Henstock–Kurzweil integral — In mathematics, the Henstock–Kurzweil integral, also known as the Denjoy integral (pronounced [dɑ̃ˈʒwa]) and the Perron integral, is one of a number of definitions of the integral of a function. It is a generalization of the Riemann integral… …   Wikipedia

  • Riemann integral — In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. While the Riemann integral is unsuitable for many theoretical… …   Wikipedia

  • Daniell integral — In mathematics, the Daniell integral is a type of integration that generalizes the concept of more elementary versions such as the Riemann integral to which students are typically first introduced. One of the main difficulties with the… …   Wikipedia

  • Absolute convergence — In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… …   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

  • Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… …   Wikipedia

  • convergence — /keuhn verr jeuhns/, n. 1. an act or instance of converging. 2. a convergent state or quality. 3. the degree or point at which lines, objects, etc., converge. 4. Ophthalm. a coordinated turning of the eyes to bear upon a near point. 5. Physics. a …   Universalium

  • 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

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