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 ?
Note that (31) converges absolutely and uniformly on R and {f(n p/q) : n [member of] Z} [member of] [l.
We claim that (2) also converges absolutely and uniformly on R to L[f](t) [member of] C(R).
Since [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], the right hand side of (2) then converges absolutely and uniformly to a continuous function L[f](t) on R.
is regular and converges absolutely for [Real part](w) [equivalent to] u > [sigma] + [[sigma].
which converges absolutely because u [greater than or equal to] [[sigma].
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)].