# absolute convergence

﻿
absolute convergence
noun Date: 1893 convergence of a mathematical series when the absolute values of the terms are taken

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

• 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

• absolute convergence — noun : convergence of a mathematical series when the absolute values of the terms are taken * * * Math. 1. the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value… …   Useful english dictionary

• absolute convergence — Math. 1. the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges. Cf. conditional convergence. 2. the property of a sequence of functions in which the series… …   Universalium

• Uniform absolute-convergence — In mathematics, uniform absolute convergence is a type of convergence for series of functions. Like absolute convergence, it has the useful property that it is preserved when the order of summation is changed. Motivation A convergent series of… …   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

• Convergence tests — In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series. Contents 1 List of tests 2 Comparison 3 Examples …   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 and Union — Convergència i Unió President Artur Mas Founded September 1978 (coalition) December 2001 (federation) …   Wikipedia

• Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… …   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