Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
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Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers. / Koumandos, Stamatis; Pedersen, Henrik Laurberg.
I: Mathematische Nachrichten, Bind 285, Nr. 17-18, 2012, s. 2129-2156.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
AU - Koumandos, Stamatis
AU - Pedersen, Henrik Laurberg
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.1002/mana.201100299
DO - 10.1002/mana.201100299
M3 - Journal article
VL - 285
SP - 2129
EP - 2156
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
IS - 17-18
ER -
ID: 48002343