Inequality of the Kolmogorov type for operators and extremal problems of approximation theory (Q5937516)
From MaRDI portal
scientific article; zbMATH DE number 1619377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequality of the Kolmogorov type for operators and extremal problems of approximation theory |
scientific article; zbMATH DE number 1619377 |
Statements
Inequality of the Kolmogorov type for operators and extremal problems of approximation theory (English)
0 references
16 July 2001
0 references
The authors investigate abstract versions (in real linear spaces) of the classical Kolmogorov inequality \[ \|x^{(k)}\|_{L_p(G)}\leq K\|x\|^\alpha_{L_q(G)} \|x^{(r)}\|^{1- \alpha}_{L_s(G)}, \] where \(0< k< r\) and \(0< \alpha< 1\).
0 references
Kolmogorov inequality
0 references
