Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere

Guo Feng

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

We consider the best approximation by Jackson-Matsuoka polynomials in the weighted L p space on the unit sphere of 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:302853

DOI: 10.1155/2012/302853

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