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 | 2019-12-02T10:33:33Z | |
dc.date.available | 2019-12-02T10:33:33Z | |
dc.date.issued | 2004 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56412 | |
dc.description.abstract | We prove several new inequalities for trigonometric sums in two variables. One of our results states that the double-inequality -2/3(√2 - 1) ≤ Σk=1n cos((k - 1/2)x) Sin((k - 1/2)y)/k - 1/2 ≤ 2 holds for all integers n ≥ 1 and real numbers x, y ε [0, π]. Both bounds are best possible. ©2004 University of Illinois. | en |
dc.source | Illinois Journal of Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-17044385813&partnerID=40&md5=305f53d1c13265982db96e8a4b78d989 | |
dc.title | Sharp inequalities for trigonometric sums in two variables | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 48 | |
dc.description.issue | 3 | |
dc.description.startingpage | 887 | |
dc.description.endingpage | 907 | |
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 | Ill.J.Math. | en |
dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
dc.gnosis.orcid | 0000-0002-3399-7471 | |