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| AVERAGE KOLMOGOROV N-WIDTHS (N-K WIDTH) AND OPTIMAL INTERPOLATION OF SOBOLEV CLAS IN L_p(R) |
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Citation： |
Chen Dirong（陈迪荣）.AVERAGE KOLMOGOROV N-WIDTHS (N-K WIDTH) AND OPTIMAL INTERPOLATION OF SOBOLEV CLAS IN L_p(R)[J].Chinese Annals of Mathematics B,1992,13(4):396~405 |
| Page view： 785
Net amount： 706 |
Authors： |
Chen Dirong（陈迪荣）; |
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| Abstract： |
The author obtains the excat values of the average n-K widths for some Sobolev classes defined by an ordinary differential operator $\[P(D) = \prod\limits_{i = 1}^r {D - {t_i}I),{t_i} \in R} \]$,in the metric L_p(R),$1\leq p\leq \infty$,and identifies some optimal subspaces.Furthermore,the optimal interpolation problem for these Sobolev classes is considered by sampling the function values at some countable sets of points distributed reasonably on R,and some exact results are obtained. |
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