Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
Date
2012ISSN
0025-584XSource
Mathematische NachrichtenVolume
285Issue
17-18Pages
2129-2156Google Scholar check
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Turán type inequalities for the partial sums of the generating functions of the Bernoulli and Euler numbers are established. They are shown to follow from a general result relating Turán inequalities of partial sums with Turán inequalities of the corresponding remainders in any Maclaurin expansion. Remainders in asymptotic expansions of the β-function are shown to be completely monotonic of positive order. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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