BACK TO absolute convergence
absolute convergence vs. conditional convergence
noun
- the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges.
- 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.
noun
- the property of an infinite series that converges while the series formed by replacing each term in the given series with its absolute value diverges; the property of an infinite series that converges when the order of the terms is altered.