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On approximation by spherical reproducing kernel Hilbert spaces |
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| Authors: | Zhixiang Chen |
| Institution: | (1) Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang, 312000, P. R. China |
| 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. |
| Keywords: | spherical harmonic polynomial radial basis function reproducing kernel Hilbert space error estimates HILBERT SPACES REPRODUCING KERNEL SPHERICAL upper bound approximation error functions subspace better smoothness spherical nested Hilbert spaces different kernels |
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