Another note on polynomial vs rational approximation

被引:0
|
作者
Shekhtman, B
机构
[1] Department of Mathematics, University of South Florida, Tampa
关键词
D O I
10.1006/jath.1996.0047
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let E be a subspace of C(X) and let X(E) = g/h:g. h is an element of E; h > 0}. We make a simple, yet intriguing observation: if zero is a best approximation to f from E, then zero is a best approximation to f from R(E). We also prove that if {E(n)} is dense in C(X) then for almost all f (in the sense of category).
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页码:343 / 347
页数:5
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