An interpolatory view of polynomial least squares approximation

dc.date.accessioned	2021-02-23T20:37:21Z
dc.date.available	2021-12-23T23:45:42Z
dc.date.created	2021-02-01T16:07:44Z
dc.date.issued	2020
dc.identifier.citation	Chang, Qingjun Deng, Chongyang Floater, Michael S. . An interpolatory view of polynomial least squares approximation. Journal of Approximation Theory. 2020
dc.identifier.uri	http://hdl.handle.net/10852/83558
dc.description.abstract	We derive a formula for weighted polynomial least squares approximation which expresses the approximant as a convex combination of interpolants. There is a similar formula for L2 approximation and the same principle applies to multivariate approximation.
dc.language	EN
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title	An interpolatory view of polynomial least squares approximation
dc.type	Journal article
dc.creator.author	Chang, Qingjun
dc.creator.author	Deng, Chongyang
dc.creator.author	Floater, Michael S.
cristin.unitcode	185,15,13,45
cristin.unitname	Differensiallikninger og beregningsorientert matematikk
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	1
dc.identifier.cristin	1885332
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Approximation Theory&rft.volume=&rft.spage=&rft.date=2020
dc.identifier.jtitle	Journal of Approximation Theory
dc.identifier.volume	252
dc.identifier.doi	https://doi.org/10.1016/j.jat.2019.105360
dc.identifier.urn	URN:NBN:no-86293
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0021-9045
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/83558/2/ls.pdf
dc.type.version	AcceptedVersion
cristin.articleid	105360