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| CONSTRAINED RATIONAL APPROXIMATION |
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Citation： |
Shi Yingguang.CONSTRAINED RATIONAL APPROXIMATION[J].Chinese Annals of Mathematics B,1984,5(2):141~144 |
| Page view： 767
Net amount： 649 |
Authors： |
Shi Yingguang; |
Foundation： |
This work has been supported by a grant to Professor C. B. Dunham from the Natural Sciences and Engineering Research Council of Canada when the author is at the University of Western Ontario as a Visiting Research Associate. |
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| Abstract： |
Let P and Q be convex sets in $\[C(X)\]$ and $\[q(x) > 0\]$ in X for all $\[q \in Q\]$. The approximating
family is then the class
$$\[R = \{ p/q:p \in P,q \in Q\} \]$$
The Chebyshev approximation to $\[f \in C(X)\]$ an element in R is investigated and the characterizations of a best approximation, and the necessary and sufficient condition for the unique best approximation are obtained. |
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