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| DEGREE OF COPOSITIVE POLYNOMIAL APPROXIMATION |
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Citation： |
Yu Xiangming.DEGREE OF COPOSITIVE POLYNOMIAL APPROXIMATION[J].Chinese Annals of Mathematics B,1989,10(3):409~415 |
| Page view： 856
Net amount： 885 |
Authors： |
Yu Xiangming; |
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| Abstract： |
Denote by $\[{E_n}(f)\]$ the degree of copositive approximation to $\[f(x)\]$ by polynomials of
degree $\[ \le n\]$. For function $\[f(x) \in {C^k}[ - 1,1]\]$ which alternates in sign finitely many timesin
$\[[ - 1,1]\]$, the author obtains the following Jackson type estimates.
$\[{E_n}(f) \le C{n^{ - k}}\omega ({f^{(k)}},1/n)\]$
for any positive integer $k$. |
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