Multivariate anisotropic interpolation on the torus

Ronny Bergmann*, Jürgen Prestin

*Corresponding author for this work


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 languageEnglish
Title of host publicationApproximation Theory XIV: San Antonio 2013
PublisherSpringer Basel
Publication date2014
Publication statusPublished - 2014


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