Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
نویسندگان
چکیده
The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and lots applications many fields, especially machine learning. Fractal provides new technologies for making complicated curves fitting experimental data. Recently, combinations fractal interpolation functions (FIFs) methods curve estimations have attracted the attention researchers. We are interested study connections between FIFs RKHSs. aim is to develop concept smooth fractal-type kernels RKHSs FIFs. In this paper, linear space considered. A condition given finite set be linearly independent established. For such set, we build positive semi-definite show that span these corresponding RKHS. nth derivatives investigated, properties related RKHS studied. also introduce subspaces which important curve-fitting applications.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7050357