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On generalized hyperinterpolation on the sphere
Author(s):
Feng
Dai
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2931-2941.
MSC (2000):
Primary 41A15, 41A17;
Secondary 41A05, 46E22
Posted:
April 11, 2006
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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.
References:
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- Q. T. Le Gia and I. H. Sloan, The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions, Constr. Approx. 17 (2001), no. 2, 249-265. MR 1814361 (2001m:41021)
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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:
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
Posted:
April 11, 2006
Additional Notes:
The author was supported in part by the NSERC Canada under grant G121211001.
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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