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

被引:0
|
作者
Gunawan, Hendra [1 ]
Sawano, Yoshihiro [2 ]
机构
[1] Inst Teknol Bandung, Dept Math, Bandung, Indonesia
[2] Kyoto Univ, Dept Math, Kyoto 606, Japan
基金
日本学术振兴会;
关键词
Reproducing kernel Hilbert spaces; minimization problem; nodes;
D O I
10.4208/eajam.050511.310711a
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 Holder continuity of the solution to the problem.
引用
收藏
页码:372 / 378
页数:7
相关论文
共 50 条
  • [31] Quantile regression in reproducing kernel Hilbert spaces
    Li, Youjuan
    Liu, Yufeng
    Zhu, Ji
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2007, 102 (477) : 255 - 268
  • [32] Koopman spectra in reproducing kernel Hilbert spaces
    Das, Suddhasattwa
    Giannakis, Dimitrios
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2020, 49 (02) : 573 - 607
  • [33] Remarks on interpolation in reproducing kernel Hilbert spaces
    Bolotnikov, V
    Rodman, L
    HOUSTON JOURNAL OF MATHEMATICS, 2004, 30 (02): : 559 - 576
  • [34] Frames, their relatives and reproducing kernel Hilbert spaces
    Speckbacher, Michael
    Balazs, Peter
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (01)
  • [35] Metamorphosis of images in reproducing kernel Hilbert spaces
    Richardson, Casey L.
    Younes, Laurent
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2016, 42 (03) : 573 - 603
  • [36] Adaptive Estimation in Reproducing Kernel Hilbert Spaces
    Bobade, Parag
    Majumdar, Suprotim
    Pereira, Savio
    Kurdila, Andrew J.
    Ferris, John B.
    2017 AMERICAN CONTROL CONFERENCE (ACC), 2017, : 5678 - 5683
  • [37] Nonlinear expansions in reproducing kernel Hilbert spaces
    Mashreghi, Javad
    Verreault, William
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2023, 21 (02):
  • [38] Interpolation for multipliers on reproducing kernel Hilbert spaces
    Bolotnikov, V
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (05) : 1373 - 1383
  • [39] An algebra structure for reproducing kernel Hilbert spaces
    Montgomery, Michael
    Giannakis, Dimitrios
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2025, 19 (01)
  • [40] Reproducing kernel Hilbert spaces via sampling in discrete spaces
    Foroutan, Mohammadreza
    Asadi, Raheleh
    JOURNAL OF ANALYSIS, 2023, 31 (03): : 1805 - 1818