| 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 | 2008 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56406 | |
| dc.description.abstract | We give sharp lower estimates for the partial sums of the Fourier series sin x + cos2x/2 + sin 3x/3 + cos 4x/4 + ..., with both an even and odd number of terms. Our results are obtained through a monotonicity property of their local minima. In particular, we prove that all partial sums are positive on (0, π). © 2007 Springer. | en |
| dc.source | Constructive Approximation | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-36749100918&doi=10.1007%2fs00365-006-0665-0&partnerID=40&md5=0ab762fe1c98e710cc1f0455040dbaf8 | |
| dc.subject | Inequalities | en |
| dc.subject | Trigonometric polynomials | en |
| dc.title | On the partial sums of a fourier series | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1007/s00365-006-0665-0 | |
| dc.description.volume | 27 | |
| dc.description.issue | 3 | |
| dc.description.startingpage | 253 | |
| dc.description.endingpage | 268 | |
| 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 :6</p> | en |
| dc.source.abbreviation | Constr.Approx. | en |
| dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
| dc.gnosis.orcid | 0000-0002-3399-7471 | |
