On The Nonlinear Rational Approximation
碩士 === 輔仁大學 === 數學研究所 === 86 === The uniqueness problem for best segmented approximation of continuous differentiable functions C1[0,1] from a family of piecewise rational functions in the L2 norm is considered. Under appropriate hypothesis, we showed that there is an open subset in C1[0,1] su...
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| Format: | Others |
| Language: | en_US |
| Published: |
1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/43582531401927687128 |
| Summary: | 碩士 === 輔仁大學 === 數學研究所 === 86 ===
The uniqueness problem for best segmented approximation of continuous differentiable functions C1[0,1] from a family of piecewise rational functions in the L2 norm is considered. Under appropriate hypothesis, we showed that there is an open subset in C1[0,1] such that each element in it has a unique best segmented L2 piecewise rational approximation.
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