Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere
We consider the best approximation by Jackson-Matsuoka polynomials in the weighted Lp space on the unit sphere of Rd. 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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/302853 |
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doaj-cc9383802e8946588b2ab4924bc9709f2020-11-25T00:10:54ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/302853302853Weighted Approximation for Jackson-Matsuoka Polynomials on the SphereGuo Feng0School of Mathematics and Information Engineering, Taizhou University, Zhejiang, Taizhou 317000, ChinaWe consider the best approximation by Jackson-Matsuoka polynomials in the weighted Lp space on the unit sphere of Rd. 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.http://dx.doi.org/10.1155/2012/302853 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guo Feng |
| spellingShingle |
Guo Feng Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere Abstract and Applied Analysis |
| author_facet |
Guo Feng |
| author_sort |
Guo Feng |
| title |
Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere |
| title_short |
Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere |
| title_full |
Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere |
| title_fullStr |
Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere |
| title_full_unstemmed |
Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere |
| title_sort |
weighted approximation for jackson-matsuoka polynomials on the sphere |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
We consider the best approximation by Jackson-Matsuoka polynomials in the weighted Lp space on the unit sphere of Rd. 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. |
| url |
http://dx.doi.org/10.1155/2012/302853 |
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AT guofeng weightedapproximationforjacksonmatsuokapolynomialsonthesphere |
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