Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel

ZHANG Su; HAN Yongjie; WANG Tongxin

doi:10.3969/j.issn.1673-159X.2017.02.013

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ZHANG Su, HAN Yongjie, WANG Tongxin. Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel[J]. Journal of Xihua University(Natural Science Edition), 2017, 36(2): 68-72. DOI: 10.3969/j.issn.1673-159X.2017.02.013

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ZHANG Su, HAN Yongjie, WANG Tongxin. Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel[J]. Journal of Xihua University(Natural Science Edition), 2017, 36(2): 68-72. DOI: 10.3969/j.issn.1673-159X.2017.02.013

Citation:

ZHANG Su, HAN Yongjie, WANG Tongxin. Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel[J]. Journal of Xihua University(Natural Science Edition), 2017, 36(2): 68-72. DOI: 10.3969/j.issn.1673-159X.2017.02.013

Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel

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We investigated the approximation error of Inverse multiquadrics kernel in the class of multivariate functions with common mixed smoothness, which generalize the hypothesis space from the classical Sobolev space to the space of multivariate functions with common mixed smoothness, and obtained the logarithmic order of the approximation error.

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Logarithmic Decay of the Approximation Error for Inverse Multiquadrics Kernel

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