Linear deviations of classes of smooth functions on sphere \(S^ N\) (Q802097)
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scientific article; zbMATH DE number 3881250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear deviations of classes of smooth functions on sphere \(S^ N\) |
scientific article; zbMATH DE number 3881250 |
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Linear deviations of classes of smooth functions on sphere \(S^ N\) (English)
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1984
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\textit{B. E. Kloc} [Mat. Zametki 18, 97-108 (1975; Zbl 0329.41023)] has established for a class \(W_ p^{\alpha}(1)\) of periodical functions with bounded fractional derivatives on \(L_ p[-\pi,\pi]\) the order of linear deviation from a class \(\tilde W_ q^{\beta}(M)\). This work extends the mentioned result to the multi-dimensional case for the functions defined on unit sphere \(S^ n\) (n\(\geq 2)\) from space \(R^{n+1}\).
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periodical functions with bounded fractional derivatives
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