Asymptotic estimates for approximative and entropy numbers of the one-weight Riemann-Liouville operator (Q2455224)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic estimates for approximative and entropy numbers of the one-weight Riemann-Liouville operator |
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Asymptotic estimates for approximative and entropy numbers of the one-weight Riemann-Liouville operator (English)
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22 October 2007
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The authors give asymptotic estimates of the entropy and approximation numbers of the operator \(T_{\alpha,v}:L_p(0,\infty)\to L_q(0,\infty)\) defined by \(T_{\alpha,v}f(x)=v(x)\int_0^x(x-y)^{\alpha-1}f(y)\,dy\), where \(\alpha>1\) is an integer and \(v(x)\) a suitable weight function.
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