Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/21427
Título: | Detection of C2-singularities using uniform spline approximations |
Autor: | Nagler, Johannes Kaehler, Uwe |
Palavras-chave: | Inverse theorem Schoenberg operator Singularity detection Spline approximation |
Data: | 2017 |
Editora: | Wiley |
Resumo: | For the detection of C2-singularities, we present lower estimates for the error in Schoenberg variation-diminishing spline approximation with equidistant knots in terms of the classical second-order modulus of smoothness. To this end, we investigate the behaviour of the iterates of the Schoenberg operator. In addition, we show an upper bound of the second-order derivative of these iterative approximations. Finally, we provide an example of how to detect singularities based on the decay rate of the approximation error. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21427 |
DOI: | 10.1002/mma.4614 |
ISSN: | 1099-1476 |
Aparece nas coleções: | CIDMA - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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document(11).pdf | Documento principal | 516.3 kB | Adobe PDF |
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