| dc.contributor.author | Alzer, H. | en |
| dc.contributor.author | Koumandos, S. | en |
| dc.creator | Alzer, H. | en |
| dc.creator | Koumandos, S. | en |
| dc.date.accessioned | 2019-12-02T10:33:31Z | |
| dc.date.available | 2019-12-02T10:33:31Z | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0003-889X | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56403 | |
| dc.description.abstract | Let n ≥ 0 be an integer. Then we have for x ε (0, π) : ∑k=0 n(2n+1 n-k)sin((2k+1)x)/2k+1 ≤ 8 n-rfnet-temp!/(2n+1)!! The upper bound is best possible. This complements a result of Fejér, who proved that the sine polynomial is positive on (0, π). © 2009 Birkhäuser Verlag Basel/Switzerland. | en |
| dc.source | Archiv der Mathematik | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-70949107955&doi=10.1007%2fs00013-009-0055-y&partnerID=40&md5=d2b83044bde0a3739eeadeab286c8d4e | |
| dc.subject | Fejér kernel | en |
| dc.subject | Incomplete beta function | en |
| dc.subject | Positive trigonometric sums | en |
| dc.subject | Sharp bounds | en |
| dc.subject | Sine polynomials | en |
| dc.title | Remarks on a sine polynomial | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1007/s00013-009-0055-y | |
| dc.description.volume | 93 | |
| dc.description.issue | 5 | |
| dc.description.startingpage | 475 | |
| dc.description.endingpage | 479 | |
| 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 :3</p> | en |
| dc.source.abbreviation | Arch.Math. | en |
| dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
| dc.gnosis.orcid | 0000-0002-3399-7471 | |
