Weighted approximation for Jackson-Matsuoka polynomials on the sphere (Q437534)
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scientific article; zbMATH DE number 6058101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted approximation for Jackson-Matsuoka polynomials on the sphere |
scientific article; zbMATH DE number 6058101 |
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Weighted approximation for Jackson-Matsuoka polynomials on the sphere (English)
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18 July 2012
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Summary: We consider the best approximation by Jackson-Matsuoka polynomials in the weighted \(L_p\) space on the unit sphere of \(\mathbb R^d\). Using the relation between \(K\)-functionals and modulus of smoothness on the sphere, we obtain the direct and inverse estimate of approximation by these polynomials for the \(h\)-spherical harmonics.
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Jackson-Matsuoka polynomial
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direct and inverse estimate of approximation
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