On generalized hyperinterpolation on the sphere
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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.References
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Additional Information
- Feng Dai
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 660750
- Email: dfeng@math.ualberta.ca
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2931-2941
- MSC (2000): Primary 41A15, 41A17; Secondary 41A05, 46E22
- DOI: https://doi.org/10.1090/S0002-9939-06-08421-8
- MathSciNet review: 2231617