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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On generalized hyperinterpolation on the sphere


Author: Feng Dai
Journal: Proc. Amer. Math. Soc. 134 (2006), 2931-2941
MSC (2000): Primary 41A15, 41A17; Secondary 41A05, 46E22
Published electronically: April 11, 2006
MathSciNet review: 2231617
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Abstract: It is shown that second-order results can be attained by the generalized hyperinterpolation operators on the sphere, which gives an affirmative answer to a question raised by Reimer in Constr. Approx. 18(2002), no. 2, 183-203.


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Additional Information

Feng Dai
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: dfeng@math.ualberta.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08421-8
PII: S 0002-9939(06)08421-8
Keywords: Spherical polynomials, generalized hyperinterpolation, second-order moduli of smoothness, unit sphere
Received by editor(s): April 23, 2005
Published electronically: April 11, 2006
Additional Notes: The author was supported in part by the NSERC Canada under grant G121211001.
Communicated by: Andreas Seeger
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.