Application of Reproducing Kernel Hilbert Spaces to a Minimization Problem with Prescribed Nodes
Hendra Gunawan 1*, Yoshihiro Sawano 21 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
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.
Email: email@example.com (H. Gunawan)