Meaning of absolute convergence
— Math. Math.
- 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.
- 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. Also called