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Near optimality of the sinc approximation
Author(s):
Masaaki
Sugihara.
Journal:
Math. Comp.
72
(2003),
767-786.
MSC (2000):
Primary 41A30, 41A25, 65D15
Posted:
June 4, 2002
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Abstract:
Near optimality of the sinc approximation is established in a variety of spaces of functions analytic in a strip region about the real axis, each space being characterized by the decay rate of their elements (functions) in the neighborhood of the infinity.
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Additional Information:
Masaaki
Sugihara
Affiliation:
Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan
Email:
sugihara@na.cse.nagoya-u.ac.jp
DOI:
10.1090/S0025-5718-02-01451-5
PII:
S 0025-5718(02)01451-5
Keywords:
Sinc approximation,
near optimality,
variable transformation,
double exponential formula
Received by editor(s):
July 10, 2000
Received by editor(s) in revised form:
August 27, 2001
Posted:
June 4, 2002
Additional Notes:
The author was supported in part by a Grant-in-Aid for Scientific Research from the Ministry of Education, Sports, Culture and Science, and by the Japan Society for Promotion of Science.
Copyright of article:
Copyright
2002,
American Mathematical Society
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