Inverse theorem for a new sequence of linear positive operators on \(L_p\)-spaces (Q2767704)
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scientific article; zbMATH DE number 1698445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse theorem for a new sequence of linear positive operators on \(L_p\)-spaces |
scientific article; zbMATH DE number 1698445 |
Statements
30 November 2002
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linear positive operators
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degree of approximation
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Inverse theorem for a new sequence of linear positive operators on \(L_p\)-spaces (English)
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This work is a continuation of the paper in [Rev. Unión Mat. Argent. 41, No. 4, 9-18 (2000; Zbl 0988.41012)] where the authors consider a suitable linear combination of the linear positive operators \(M_n\) on \(L_p[0,\infty)\), defined in [J. Math. Anal. Appl. 225, No. 2, 660-672 (1998; Zbl 0918.41021)] and they obtain the error of approximation in terms of the higher order integral modulus of smoothness. Now they prove the corresponding inverse theorem.
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