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

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

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.