LULU operators and locally monotone approximations
| dc.creator | Anguelov, Roumen | |
| dc.date | 2005-12-14 | |
| dc.date.accessioned | 2026-07-07T06:55:13Z | |
| dc.date.available | 2026-07-07T06:55:13Z | |
| dc.description | The LULU operators, well known in the nonlinear multiresolution analysis of sequences, are extended to functions defined on continuous domain, namely, a real interval $Ω\subseteq\mathbb{R}$. Similar to their discrete counterparts, for a given $δ>0$ the operators $L_δ$ and $U_δ$ form a fully ordered semi-group of four elements. It is shown that the compositions $L_δ\circ U_δ$ and $U_δ\circ L_δ$ provide locally $δ$-monotone approximations for the bounded real functions defined on $Ω$. The error of approximation is estimated in terms of the modulus of nonmonotonicity. | |
| dc.identifier | https://arxiv.org/abs/math/0512307 | |
| dc.identifier | http://arxiv.org/abs/math/0512307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106213 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 41A35 | |
| dc.title | LULU operators and locally monotone approximations | |
| dc.type | text |