East Asian Journal on Applied Mathematics, 1 (2011), pp. 372-378.

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

Hendra Gunawan ^1*, Yoshihiro Sawano ²

1 Department of Mathematics, Institut Teknologi Bandung, Bandung, Indonesia.
2 Department of Mathematics, Kyoto University, Kyoto, Japan.

Received 5 May 2011; Accepted (in revised version) 31 July 2011
Available online 23 September 2011
doi:10.4208/eajam.050511.310711a

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. also discuss the H\"older continuity of the solution to the problem.

AMS subject classifications: 41A50, 42A10, 42A15, 65T40, 74G65
Key words: Reproducing kernel Hilbert spaces, minimization problem, nodes.

*Corresponding author.
Email: hgunawan@math.itb.ac.id (H. Gunawan)

The Global Science Journal