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

^*Corresponding author for this work

Institute of Mathematics

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.

Original language	English
Title of host publication	Approximation Theory XIV: San Antonio 2013
Publisher	Springer Basel
Publication date	2014
DOIs	https://doi.org/10.1007/978-3-319-06404-8_3
Publication status	Published - 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",

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AU - Bergmann, Ronny

AU - Prestin, Jürgen

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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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