On approximation by spherical reproducing kernel Hilbert spaces

Abstract

The spherical approximation between two nested reproducing kernels Hilbert spaces generated from different smooth kernels is investigated. It is shown that the functions of a space can be approximated by that of the subspace with better smoothness. Furthermore, the upper bound of approximation error is given.

Diferenciabilidade em espaços de Hilbert de reprodução sobre a esfera

“…Estes EHR diferenciados são comumente denominados espaços nativos. Algu-mas referências recentes cobrindo este enfoque são [7,19,30,31].…”