Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
| dc.contributor.author | Koumandos, S. | en |
| dc.contributor.author | Pedersen, H. L. | en |
| dc.creator | Koumandos, S. | en |
| dc.creator | Pedersen, H. L. | en |
| dc.date.accessioned | 2019-12-02T10:36:29Z | |
| dc.date.available | 2019-12-02T10:36:29Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0025-584X | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57166 | |
| dc.description.abstract | 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. | en |
| dc.source | Mathematische Nachrichten | de |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84870414987&doi=10.1002%2fmana.201100299&partnerID=40&md5=b336baaa9cfe1732448c3752f33d7dea | |
| dc.subject | β-function | el |
| dc.subject | Generating functions | en |
| dc.subject | Bernoulli numbers | en |
| dc.subject | Completely monotonic functions of positive order | en |
| dc.subject | Euler numbers | en |
| dc.subject | Ratio of series of functions | en |
| dc.subject | Remainders in asymptotic expansions | en |
| dc.subject | Turán inequality | en |
| dc.title | Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1002/mana.201100299 | |
| dc.description.volume | 285 | |
| dc.description.issue | 17-18 | |
| dc.description.startingpage | 2129 | |
| dc.description.endingpage | 2156 | |
| dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
| dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
| dc.type.uhtype | Article | en |
| dc.description.notes | <p>Cited By :5</p> | en |
| dc.source.abbreviation | Math.Nachr. | de |
| dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
| dc.gnosis.orcid | 0000-0002-3399-7471 |
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