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Sharp van der Corput estimates and minimal divided differences
Author(s):
Keith
M.
Rogers
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3543-3550.
MSC (2000):
Primary 42A05;
Secondary 65T40, 26D10
Posted:
July 13, 2005
MathSciNet review:
2163589
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Abstract:
We find the sharp constant in a sublevel set estimate which arises in connection with van der Corput's lemma. In order to do this, we find the nodes that minimise divided differences. We go on to find the sharp constant in the first instance of the van der Corput lemma. With these bounds we improve the constant in the general van der Corput lemma, so that it is asymptotically sharp.
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Additional Information:
Keith
M.
Rogers
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia
Address at time of publication:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Email:
K.M.Rogers.99@cantab.net
DOI:
10.1090/S0002-9939-05-07918-9
PII:
S 0002-9939(05)07918-9
Keywords:
Van der Corput lemma,
sharp constant,
divided differences
Received by editor(s):
July 8, 2004
Posted:
July 13, 2005
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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