Saturation and inverse theorems for certain operators in C or \(L_ p\), \(1\leq p<\infty\) (Q762390)
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scientific article; zbMATH DE number 3888286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Saturation and inverse theorems for certain operators in C or \(L_ p\), \(1\leq p<\infty\) |
scientific article; zbMATH DE number 3888286 |
Statements
Saturation and inverse theorems for certain operators in C or \(L_ p\), \(1\leq p<\infty\) (English)
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1984
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Generalizing kernels of Jackson- and of Korovkin-type the author constructs (in a way which cannot be described here in short words) different positive linear operators mapping the space C(I), \(I=[a,b]\subset (0,1)\), into the subspace of all algebraic polynomials of degree n or less. Three main theorems and Corollary 2.1 give direct, inverse and saturation theorems for these operators in the sup- and in the \(L_ p\)-norms.
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direct theorems
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Jackson-type kernel
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Korovkin-type kernel
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algebraic polynomials
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saturation
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0.8127058148384094
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0.8125929236412048
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