Cardinal spline interpolation from to

Author:
Fang Gensun

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2597-2601

MSC (2000):
Primary 41A17, 42B30; Secondary 30D15, 30D55

Published electronically:
February 21, 2000

MathSciNet review:
1657739

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the discrete Hardy space, consisting of those sequences , such that , where , , is the discrete Hilbert transform of . For a sequence , let be the unique cardinal spline of degree interpolating to at the integers. The norm of this operator, , is called a Lebesgue constant from to , and it was proved that .

It is proved in this paper that

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Additional Information

**Fang Gensun**

Affiliation:
Department of Mathematics, Beijing Normal University, Beijing, 100875, People’s Republic of China

Email:
fanggs@ns.bnu.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-00-05290-4

Keywords:
Cardinal spline,
entire function,
Lebesgue constant

Received by editor(s):
January 21, 1997

Received by editor(s) in revised form:
October 13, 1998

Published electronically:
February 21, 2000

Additional Notes:
Project 19671012 supported by both the National Natural Science Foundation and the Doctoral Programme Foundation of Institution of Higher Education of the People’s Republic of China

Communicated by:
J. Marshall Ash

Article copyright:
© Copyright 2000
American Mathematical Society