Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers

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Standard

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

Harvard

Koumandos, S & Pedersen, HL 2012, 'Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers', Mathematische Nachrichten, bind 285, nr. 17-18, s. 2129-2156. https://doi.org/10.1002/mana.201100299

APA

Koumandos, S., & Pedersen, H. L. (2012). Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers. Mathematische Nachrichten, 285(17-18), 2129-2156. https://doi.org/10.1002/mana.201100299

Vancouver

Koumandos S, Pedersen HL. Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers. Mathematische Nachrichten. 2012;285(17-18):2129-2156. https://doi.org/10.1002/mana.201100299

Author

Koumandos, Stamatis ; Pedersen, Henrik Laurberg. / Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers. I: Mathematische Nachrichten. 2012 ; Bind 285, Nr. 17-18. s. 2129-2156.

Bibtex

@article{44f21263ccc1470caf685eebfb66e942,
title = "Tur{\'a}n type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers",
abstract = "Tur{\'a}n 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 Tur{\'a}n inequalities of partial sums with Tur{\'a}n 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.",
author = "Stamatis Koumandos and Pedersen, {Henrik Laurberg}",
year = "2012",
doi = "10.1002/mana.201100299",
language = "English",
volume = "285",
pages = "2129--2156",
journal = "Mathematische Nachrichten",
issn = "0025-584X",
publisher = "Wiley - V C H Verlag GmbH & Co. KGaA",
number = "17-18",

}

RIS

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