Let $I^2:=[-1,1] imes[-1,1]$ be the unit square and let $U$ be a subspace of $C(I^2)$. If $f$ is a continuous function, then $u^{ast}in U$ is said to be a {it best one--sided $L^1$--approximation to f in $U$ from above} if $u^{ast}geq f$ and $|f-u^{ast}|_1leq |f-u|$ for every $u in U$ with $ugeq f$. In this paper we consider the problem of characterization of such best approximants for the case where $U$ consists of all (quasi--)blending--functions of order $(m,1)$.
| Identifer | oai:union.ndltd.org:DUETT/oai:DUETT:duett-04042002-172433 |
| Date | 17 April 2002 |
| Creators | Klinkhammer, John |
| Contributors | Prof. Dr. Hans-Bernd Knoop, Prof. Dr. Werner Haußmann |
| Publisher | Gerhard-Mercator-Universitaet Duisburg |
| Source Sets | Dissertations and other Documents of the Gerhard-Mercator-University Duisburg |
| Language | German |
| Detected Language | English |
| Type | text |
| Format | text/html, application/zip, application/pdf |
| Source | http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-04042002-172433/ |
| Rights | unrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. Hiermit erteile ich der Universitaet Duisburg das nicht-ausschliessliche Recht unter den unten angegebenen Bedingungen, meine Dissertation, Staatsexamens- oder Diplomarbeit, meinen Forschungs- oder Projektbericht zu veroeffentlichen und zu archivieren. Ich behalte das Urheberrecht und das Recht das Dokument zu veroeffentlichen und in anderen Arbeiten weiterzuverwenden. |
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