On the approximation of functions in spaces \(L_ p\) (Q1337867)
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scientific article; zbMATH DE number 687499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the approximation of functions in spaces \(L_ p\) |
scientific article; zbMATH DE number 687499 |
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On the approximation of functions in spaces \(L_ p\) (English)
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16 November 1994
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Error bounds for the approximation of \(L_ p\) functions \((1\leq p\leq \infty)\) defined on a separable locally compact Abelian group with the \(\sigma\)-finite invariant Haar measure \(\nu\) by some integral operators are given. Then the author proves exact Jackson type inequalities in the space \(L_ p(T^ m)\), \(1\leq p< 2\), where \(T^ m= [0, 2\pi)^ m\) \((m> 1)\).
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approximation in Abelian groups
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integral operators
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Jackson type inequalities
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