| 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 | 2019-12-02T10:33:32Z | |
| dc.date.available | 2019-12-02T10:33:32Z | |
| dc.date.issued | 2007 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56407 | |
| dc.description.abstract | A classical theorem due to Young states that the cosine polynomial c n(x) = 1 + ∑k=1n cos(kx)/k is positive for all n ≥ 1 and x ∈ (0, π). We prove the following refinement. For all n ≥ 2 and x ∈ [0, π] we have 1/6 + c(π - x)2 ≤ Cn(x), with the best possible constant factor c = min 0≤t<π 5 +6 cos(t) + 3 cos(2t)/6(π - t)2 = 0.069.... | en |
| dc.source | Proceedings of the Edinburgh Mathematical Society | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-34249069191&doi=10.1017%2fS0013091504000744&partnerID=40&md5=461f302f24dcd5f4ce88995ec214147a | |
| dc.subject | Fourier series | en |
| dc.subject | Trigonometric polynomials | en |
| dc.subject | Sharp inequalities | en |
| dc.subject | Young's inequality | en |
| dc.title | A new refinement of Young's inequality | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1017/S0013091504000744 | |
| dc.description.volume | 50 | |
| dc.description.issue | 2 | |
| dc.description.startingpage | 255 | |
| dc.description.endingpage | 262 | |
| 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 :8</p> | en |
| dc.source.abbreviation | Proc.Edinburgh Math.Soc. | en |
| dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
| dc.gnosis.orcid | 0000-0002-3399-7471 | |
