# absolute convergence

### noun Mathematics.

the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges.Compare conditional convergence.

the property of a sequence of functions in which the series whose terms are the successive differences of the elements of the sequence exhibits absolute convergence.

the property of an improper integral in which the integral formed by replacing the integrand by its absolute value converges.

## Nearby words

## Origin of absolute convergence

First recorded in 1905–10

Also called unconditional convergence.

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Science definitions for absolute convergence

## absolute convergence

[ ăb′sə-lōōt′ ]

The mathematical property by which the sums of the absolute values of the terms in a series converge.

The American Heritage® Science Dictionary
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