A Korovkin-type result in \(C^k\) an application to the \(M_n\) operators (Q2778239)
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scientific article; zbMATH DE number 1719552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Korovkin-type result in \(C^k\) an application to the \(M_n\) operators |
scientific article; zbMATH DE number 1719552 |
Statements
13 March 2002
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almost convex operator
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simultaneous approximation
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0.9148305
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0.91355246
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0.9034077
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0.9002589
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0.89913374
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0.8990508
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0.89873743
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A Korovkin-type result in \(C^k\) an application to the \(M_n\) operators (English)
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The main result of the paper (Theorem 2) is a qualitative Korovkin type result for the degree of simultaneous approximation of \(C^k\)-functions \(f\) by a sequence of almost convex operators of order \(k-1\) (in the sense of Knoop and Pottinger). An application is given for the sequence of Meyer-König and Zeller operators.
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