| On $n$-Widths of Certain Function Classes in Orlicz Spaces |
| Received:November 04, 2005 Revised:October 11, 2006 |
| Key Words:
Orlicz space spline class function class width duality.
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| Fund Project:the Natural Science Foundation of Inner Mongolia (200408020108) |
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| Abstract: |
| This paper deals with the extremal problems of general spline classes which degree of \emph{r} in Orlicz spaces. Based on this, we further study the problems of precisely estimation on $n$-Widths of smoothness function classes $\Omega_{\infty}^{r}[0,1]$ in Orlicz spaces. Moreover, we discuss the problems of corresponding dual cases. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.039 |
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