REPRODUCING KERNEL HILBERT SPACES OF FRACTAL INTERPOLATION FUNCTIONS FOR CURVE FITTING PROBLEMS

被引：4
|
作者：
Luor, Dah-Chin [1 ]
机构：
[1] I Shou Univ, Dept Data Sci & Analyt, 1,Sec 1,Syuecheng Rd, Kaohsiung 84001, Taiwan
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 03期
关键词：
Fractal; Interpolation; Fractal Interpolation Function; Curve Fitting; Reproducing Kernel Hilbert Space; Fractal-Type Kernel;
D O I：
10.1142/S0218348X22500372
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that the spaces of some types of fractal interpolation functions are reproducing kernel Hilbert spaces with two different types of inner products. Then we apply these results to curve fitting problems. We establish the fractal interpolation functions that are in reproducing kernel Hilbert spaces and that minimize the regularized empirical error.
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页数：10
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