A solution of Braess' approximaiton problem on powers of the distance function
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1171 | |
dc.contributor.author | Kraus, Christiane | |
dc.date.accessioned | 2016-03-24T17:38:12Z | |
dc.date.available | 2019-06-28T08:02:24Z | |
dc.date.issued | 2006 | |
dc.description.abstract | The polynomial approximation behaviour of the class of functions Fs:R2(x0,y0)−>R,Fs(x,y)=((x−x0)2+(y−y0)2)(−s),sin(0,infty), is studied in [Bra01]. There it is claimed that the obtained results can be embedded in a more general setting. This conjecture will be confirmed and complemented by a different approach than in [Bra01]. The key is to connect the approximation rate of F_s with its holomorphic continuability for which the classical Bernstein approximation theorem is linked with the convexity of best approximants. Approximation results of this kind also play a vital role in the numerical treatment of elliptic differential equations [Sau]. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1916 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1826 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Polynomial approximation in 2–space | eng |
dc.subject.other | Maximal convergence | eng |
dc.subject.other | Bernstein-Walsh’s type. theorems | eng |
dc.title | A solution of Braess' approximaiton problem on powers of the distance function | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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