Improvement Taykov's lower bound in an inequation between C and L norms for trigonometric polynomials
| dc.creator | Gorbachev, D. V. | |
| dc.date | 2002-12-03 | |
| dc.date.accessioned | 2026-07-07T04:53:29Z | |
| dc.date.available | 2026-07-07T04:53:29Z | |
| dc.description | We give new lower asymptotical estimate of constant \[ C_n=\sup\biggl\{\frac{\|t_n\|_{C(\mathbb T)}}{\|t_n\|_{L(\mathbb T)}}:t_n\text{are real trigonometric polynomials}, \operatorname{deg}t_n<n\biggr\} \] as $n\to\infty$. This estimate improves known bound of L.V.Taykov (1965). | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0212037 | |
| dc.identifier | http://arxiv.org/abs/math/0212037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65868 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Number Theory | |
| dc.title | Improvement Taykov's lower bound in an inequation between C and L norms for trigonometric polynomials | |
| dc.type | text |