Multivariate anisotropic interpolation on the torus

Ronny Bergmann; Jürgen Prestin

doi:10.1007/978-3-319-06404-8_3

Multivariate anisotropic interpolation on the torus

Ronny Bergmann^*, Jürgen Prestin

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

Abstract

We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang- Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.

Originalsprache	Englisch
Titel	Approximation Theory XIV: San Antonio 2013
Herausgeber (Verlag)	Springer Basel
Erscheinungsdatum	2014
DOIs	https://doi.org/10.1007/978-3-319-06404-8_3
Publikationsstatus	Veröffentlicht - 2014

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title = "Multivariate anisotropic interpolation on the torus",

abstract = "We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang- Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.",

author = "Ronny Bergmann and J{\"u}rgen Prestin",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.",

year = "2014",

doi = "10.1007/978-3-319-06404-8_3",

language = "English",

booktitle = "Approximation Theory XIV: San Antonio 2013",

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AU - Bergmann, Ronny

AU - Prestin, Jürgen

PY - 2014

Y1 - 2014

N2 - We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang- Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.

AB - We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang- Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.

U2 - 10.1007/978-3-319-06404-8_3

DO - 10.1007/978-3-319-06404-8_3

M3 - Conference contribution

BT - Approximation Theory XIV: San Antonio 2013

PB - Springer Basel

ER -

Multivariate anisotropic interpolation on the torus

Abstract

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