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Application of Reproducing Kernel Hilbert Spaces to a Minimization Problem with Prescribed Nodes

Published online by Cambridge University Press:  28 May 2015

Hendra Gunawan  and
Yoshihiro Sawano
Hendra Gunawan*
Affiliation:
Department of Mathematics, Institut Teknologi Bandung, Bandung, Indonesia
Yoshihiro Sawano
Affiliation:
Department of Mathematics, Kyoto University, Kyoto, Japan
*
Corresponding author. Email: [email protected]
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Abstract

The theory of reproducing kernel Hilbert spaces is applied to a minimization problem with prescribed nodes. We re-prove and generalize some results previously obtained by Gunawan et al. [2,3], and also discuss the Hölder continuity of the solution to the problem.

Keywords

41A5042A1042A1565T4074G65Reproducing kernel Hilbert spacesminimization problemnodes
Type
Review Article
Information
East Asian Journal on Applied Mathematics , Volume 1 , Issue 4 , November 2011 , pp. 372 - 378
Copyright
Copyright © Global-Science Press 2011

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References

[1]Ambarwati, L. and Gunawan, H., “On the product of Chebyshev systems”, submitted for publication.Google Scholar
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