A new sequence of linear positive operators for higher order \(L_p\)-approximation (Q2767714)
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scientific article; zbMATH DE number 1698455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new sequence of linear positive operators for higher order \(L_p\)-approximation |
scientific article; zbMATH DE number 1698455 |
Statements
16 July 2002
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A new sequence of linear positive operators for higher order \(L_p\)-approximation (English)
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The authors introduced in [J. Math. Anal. Appl. 225, No. 2, 660-672 (1998; Zbl 0918.41021)] a sequence of positive linear operators on \(L_p[0, \infty)\), for which the order of approximation is \(O(1/n)\). Now they improve this order by considering suitable linear combinations of the operators. The error of approximation is estimated in terms of the integral modulus of smoothness.
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