Strong summation process in \(L_p\) spaces (Q392465)
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scientific article; zbMATH DE number 6244964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong summation process in \(L_p\) spaces |
scientific article; zbMATH DE number 6244964 |
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Strong summation process in \(L_p\) spaces (English)
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14 January 2014
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The authors use the concept of a strong summation process that means a matrix summability method, which includes both the convergence and almost convergence and gaie a Korovkin type approximation theorem of a function \(f\in L_p[a, b]\) by means of a sequence of positive linear operators acting from \(L_p[a, b]\) into itself. They also study some quantitative estimates for \(L_p\) approximation and give the rate of convergence of these operators.
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positive linear operator
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Korovkin type theorem
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second-order modulus of smoothness
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quantitative estimates
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rate of convergence
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