Turan Extremum Problem for Periodic Function with Small Support
| dc.creator | Gorbachev, D. V. | |
| dc.creator | Manoshina, A. S. | |
| dc.date | 2002-11-19 | |
| dc.date.accessioned | 2026-07-07T04:53:05Z | |
| dc.date.available | 2026-07-07T04:53:05Z | |
| dc.description | We consider an extremum problem posed by Turan. The aim of this problem is to find a maximum mean value of 1-periodic continuous even function such that sum of Fourier coefficient modules for this function is equal to 1 and support of this function lies in $[-h,h]$, $0<h\le 1/2$. We show that this extremum problem for rational $h=p/q$ is equivalent two finite-dimensional linear programming problems. Here there are exact results for rational $h=2/q$, $h=p/(2p+1)$, $h=3/q$, and asymptotic equalities. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211291 | |
| dc.identifier | http://arxiv.org/abs/math/0211291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65710 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Number Theory | |
| dc.title | Turan Extremum Problem for Periodic Function with Small Support | |
| dc.type | text |