| 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. Compare conditional convergence. |
| 2. | 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. |
| 3. | the property of an improper integral in which the integral formed by replacing the integrand by its absolute value converges. |
| absolute convergence n. The mathematical property by which the sum of the absolute values of the terms in a series converge. |
absolute convergence (āb'sə-l t') Pronunciation Key
The mathematical property by which the sums of the absolute values of the terms in a series converge. |