Cauchy condensation test

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Cauchy condensation test

[kō·shē ‚kän·den′sā·shən ‚test]
(mathematics)
A monotone decreasing series of positive terms ∑ an converges or diverges as does ∑ pnapn for any positive integer p.
References in periodicals archive ?
In Section 2, we give some tests for absolute convergence of a double series including analogues of Cauchy's Condensation Test, Abel's kth Term Test, Limit Comparison Test, Ratio Test, Ratio Comparison Test, and Raabe's Test.
are convergent by Cauchy's Condensation Test for single series.