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Tauberian Theorems for Strong and Absolute Borel-Type Methods of Summability(1)

Published online by Cambridge University Press:  20 November 2018

D. Borwein  and
E. Smet
D. Borwein
Affiliation:
Department of Mathematics, the University of Western Ontario, LondonOntarioCanada N6A 5B9
E. Smet
Affiliation:
Department of Mathematics, the University of Western Ontario, LondonOntarioCanada N6A 5B9
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Suppose throughout that s, an (n = 0,1,2,…) are arbitrary complex numbers, that α > 0 and β is real and that N is a non-negative integer such that αN + β≥1. Let

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 2 , 01 June 1977 , pp. 161 - 172
Copyright
Copyright © Canadian Mathematical Society 1977

Footnotes

(1)

This research has been supported by Grant A2983 of the National Research Council of Canada.

References

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