On the widths of Sobolev classes |
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| Authors: | Hongwei Huang Kunyang Wang |
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| Affiliation: | a School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005, Chinab School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China |
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| Abstract: | Optimal estimates of Kolmogorov’s n-widths, linear n-widths and Gelfand’s n-widths of the weighted Sobolev classes on the unit sphere Sd are established. Similar results are also established on the unit ball Bd and on the simplex Td. |
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| Keywords: | Widths Weighted Sobolev classes Sphere Ball Simplex |
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