absolute convergence

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Related to Absolutely convergent series: Unconditionally convergent

absolute convergence

n.
The mathematical property by which the sum of the absolute values of the terms in a series converge.
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References in periodicals archive ?
Hence, by properties of absolutely convergent series, for fixed 1/2 < [sigma] < 1,
When dealing with the absolutely convergent series [mathematical expression not reproducible], we take into account that
We note that [[SIGMA].sup.[infinity].sub.k = 0] [a.sub.k] is an absolutely convergent series and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.], so that there is a series [[SIGMA].sup.[infinity].sub.k = 0] [b.sub.k] having bounded partial sums such that the series [[SIGMA].sup.[infinity].sub.k = 0] [a.sub.k] * [b.sub.k] is divergent.