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The best constant of Sobolev inequality on a bounded interval |
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| Authors: | K. Watanabe Y. Kametaka K. Takemura |
| Affiliation: | a Department of Computer Science, National Defense Academy, 1-10-20 Hashirimizu, Yokosuka 239-8686, Japan b Graduate School of Mathematical Sciences, Faculty of Engineering Science, Osaka University, 1-3 Matikaneyamatyo, Toyonaka 560-8531, Japan c Liberal Arts and Basic Sciences College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino 275-8576, Japan |
| Abstract: | The best constants Cm,j of Sobolev embedding of Hm(0,a) into Cj[0,a](0?j?m−1) are obtained. Especially, when a=∞, these constants can be represented in a closed form. |
| Keywords: | Sobolev inequality Best constant Reproducing kernel |
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