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A class of multidimensional periodic splines

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Abstract

Periodic spline functions are introduced by use of reproducing kernel structure in Hilbert spaces. Minimum properties are described in interpolation and best approximation problems. A numerical method for determining interpolating splines and best approximations is proposed.

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Authors and Affiliations

  1. Rheinisch-Westfälische, Technische Hochschule Aachen, Templergraben 55, 5100, Aachen

    Willi Freeden & Richard Reuter

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  1. Willi Freeden
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  2. Richard Reuter
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Dedicated to Prof. Dr. F. Reutter on the occasion of his 70th birthday

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Freeden, W., Reuter, R. A class of multidimensional periodic splines. Manuscripta Math 35, 371–386 (1981). https://doi.org/10.1007/BF01263270

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  • DOI: https://doi.org/10.1007/BF01263270

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