absolute convergencen.Mathematics the property of an infinite series by which, though it may not converge, the derived series formed by taking the absolute values of the terms of the given series does converge; cf. absolutely convergent at absolutelyadv. 12.
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1888 Encycl. Brit. XXIV. 71/2 In considering infinite series we must explain the concept of absolute convergence introduced by Cauchy.
2003 Jrnl. Appl. Probability40 913 It is easy to verify that (4.1) implies the absolute convergence of the sequence on the right-hand side of (4.3).