absolute convergence

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Related to Converges absolutely: Conditionally convergent

absolute convergence

[′ab·sə‚lüt kən′vərj·əns]
(mathematics)
That property of an infinite series (or infinite product) of real or complex numbers if the series (product) of absolute values converges; absolute convergence implies convergence.
References in periodicals archive ?
Then (a) implies that (c * [psi])(t) also converges absolutely and uniformly on R to L[f](t)[member of] C(R).
We claim that (2) also converges absolutely and uniformly on R to L[f](t) [member of] C(R).
which converges absolutely because u [greater than or equal to] [[sigma].
Since Z(s) converges absolutely for [sigma] > 1, the product [Z(s)2.
1) is a stable sampling expansion, which converges absolutely on [OMEGA] In fact, if then, [{[S.
2) converges absolutely and uniformly on any subset of [OMEGA] over which [[parallel k(t)].
where G(s) can be represented as a Dirichlet series, which converges absolutely for [sigma] > 1/3.