| ON n- WIDTHS OF PERIODIC FUNCTIONS |
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| 引用本文： | Chen Hanlin. ON n- WIDTHS OF PERIODIC FUNCTIONS[J]. 数学年刊B辑(英文版), 1991, 12(3): 272-281 |
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| 作者姓名： | Chen Hanlin |
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| 作者单位： | Institute of |
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| 摘 要： | Let ~(r,1)_p={f:f~(r-1) is abs. cont. on I=[a, b], f is periodie with period H(=b-a),f(x_1)=0,‖f~((r))‖_p≤0}, where x_1 is any fixed point in [a, b]. The author finds the Kolmogorov, Gel'land, linear, and Berustein n-widths of ~(r,1)_p in L~p(I) for n odd, ∞>p>1. The optimal subspaces and operators are also found.
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| 收稿时间： | 1988-11-09 |
ON n- WIDTHS OF PERIODIC FUNCTIONS |
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| Chen Hanlin. ON n- WIDTHS OF PERIODIC FUNCTIONS[J]. Chinese Annals of Mathematics,Series B, 1991, 12(3): 272-281 |
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| Authors: | Chen Hanlin |
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| Affiliation: | Institute of Mathematics, Academia Sinica,. Beijing, China.. |
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| Abstract: | |
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