ON THE BEST APPROXIMATION OF FUNCTIONS IN THE Ep(1

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SHBN XIECHANG.ON THE BEST APPROXIMATION OF FUNCTIONS IN THE Ep(1
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SHBN XIECHANG;
Abstract: In this paper some theorems on the best approximaiion by rational functions with preassigned poles in the \[{E_P}(1 < P \le \infty )\] space are proved. It is shown, that the distribution of the poles can be entirely arbitrary provided that the domain,on which the approximation is investigated, satisfies Адьп?р's condition.

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