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Variationsprobleme in Orliczräumen und Splines

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Abstract

Two convex variational problems in Orlicz spaces are considered. We give sufficient conditions for existence and uniqueness of solutions and present several characterizations of these solutions. We show that the best interpolation property of certain nonlinear classes of spline functions is a special case of our results. As an application we consider the problem of Hermite-Birkhoff-interpolation with linear inequality constraints and illustrate the results by a simple example.

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Authors and Affiliations

  1. III. Mathematisches Institut der Freien Universität Berlin, Arnimallee 2-6, D-1, Berlin 33

    Johann Baumeister

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  1. Johann Baumeister
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Diese Arbeit ist eine gekürzte Fassung des zweiten Teils der Dissertation des Verfassers (Fakultät für Mathematik der Ludwig-Maximilians-Universität).

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Baumeister, J. Variationsprobleme in Orliczräumen und Splines. Manuscripta Math 20, 29–49 (1977). https://doi.org/10.1007/BF01181239

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  • DOI: https://doi.org/10.1007/BF01181239

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