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Strong converse inequality for Poisson sums
Author(s):
F.
Dai;
Z.
Ditzian
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2609-2611.
MSC (2000):
Primary 41A17, 41A63
Posted:
April 25, 2005
MathSciNet review:
2146205
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Abstract:
The rate of convergence of Poisson sums and their combinations are shown to be equivalent to appropriate  -functionals.
References:
-
- [Ch-Di]
- W. Chen and Z. Ditzian, Best approximation and
 , Acta Math. Hungar. 75 (1997), 165-208. MR 1440498 (98h:41013) - [Da]
- F. Dai, Some equivalence theorems with
 , Jour. of Approx. Theory 121 (2003), 143-157. MR 1963000 (2003m:42013) - [Di]
- Z. Ditzian, Fractional derivatives and best approximation, Acta Math. Hungar. 81 (4) (1998), 323-348. MR 1662219 (2000e:41046)
- [Di-Iv]
- Z. Ditzian and K. Ivanov, Strong converse inequalities, Jour. d'Analyse Math. 61 (1993), 61-111. MR 1253439 (94m:41038)
- [Ha]
- G.H. Hardy, Divergent Series, Oxford Univ. Press, 1948. MR 0030620 (11:25a)
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Additional Information:
F.
Dai
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Z.
Ditzian
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
DOI:
10.1090/S0002-9939-05-08089-5
PII:
S 0002-9939(05)08089-5
Received by editor(s):
January 27, 2004
Posted:
April 25, 2005
Additional Notes:
This work was supported by NSERC grant of Canada A4816
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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