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/7/56415 | |
dc.description.abstract | We prove the following two theorems: (I) Let n ≥ 1 be a (fixed) integer. Then we have for θ ∈ (0, π): ∑k=1ncos(kθ)/k ≤ -log (sin (θ/2)) + π-θ/2 + σn, with the best possible constant σn = ∑k=1n (-1)k/k. (II) For even integers n ≥ 2 and for θ ∈ (0, π) we have ∑k=1n sin(kθ)/k ≤ α(π-θ), with the best possible constant α = 0.66 395.... Our results refine inequalities due to C. Hyltén-Cavallius [11] and P. Turán [23], respectively. | el |
dc.source | Mathematical Proceedings of the Cambridge Philosophical Society | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0037288943&doi=10.1017%2fS0305004102006357&partnerID=40&md5=e9a95de175633556b1de2c4a8c593af3 | |
dc.title | Sharp inequalities for trigonometric sums | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1017/S0305004102006357 | |
dc.description.volume | 134 | |
dc.description.issue | 1 | |
dc.description.startingpage | 139 | |
dc.description.endingpage | 152 | |
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 :16</p> | en |
dc.source.abbreviation | Math.Proc.Camb.Philos.Soc. | en |
dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
dc.gnosis.orcid | 0000-0002-3399-7471 | |