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On the Relation between the Logarithmic and Borel-Type Summability Methods

Published online by Cambridge University Press:  20 November 2018

D. Borwein  and
B. Watson
D. Borwein
Affiliation:
The University of Western Ontario London, Ontario, Canada
B. Watson
Affiliation:
Memorial University of Newfoundland St. John's, Newfoundland, Canada
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Suppose throughout that {sn} is a sequence of real numbers, λ > - 1, a > 0, and β is real. Let N be any non-negative integer such that αN + β > l.

We are concerned primarily with the logarithmic summability method L and the Borel-type method (B, α, β). Some known results involve the Abel-type summability method Aγ.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 153 - 159
Copyright
Copyright © Canadian Mathematical Society 1981

References

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