| 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 | 2019-12-02T10:33:34Z | |
| dc.date.available | 2019-12-02T10:33:34Z | |
| dc.date.issued | 2003 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56414 | |
| dc.description.abstract | We complement, extend, and sharpen some known inequalities for sine sums. Our main result is the following refinement of the classical Fejér-Jackson inequality: For all integers n ≥ 2 and real numbers x ∈ (0, π) we have αx2(cotx/2-π-x/2) < ∑ k=1nsin(kx)/k with the best possible constant factor α = 1. This improves an inequality due to Turán. | en |
| dc.source | Monatshefte fur Mathematik | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0348218976&doi=10.1007%2fs00605-002-0523-y&partnerID=40&md5=95ac8ca366e45ff167aa258ab62ea158 | |
| dc.subject | Fejér-Jackson inequality | en |
| dc.subject | trigonometric sums | en |
| dc.title | Inequalities of Fejér-Jackson Type | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1007/s00605-002-0523-y | |
| dc.description.volume | 139 | |
| dc.description.issue | 2 | |
| dc.description.startingpage | 89 | |
| dc.description.endingpage | 103 | |
| 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 :13</p> | en |
| dc.source.abbreviation | Monatsh.Math. | en |
| dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
| dc.gnosis.orcid | 0000-0002-3399-7471 | |
