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Lebesgue Constants for Regular Taylor Summabllity

Published online by Cambridge University Press:  20 November 2018

R. L. Forbes
R. L. Forbes*
Affiliation:
University of Alberta, Calgary
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The nth Taylor mean of order r of a sequence {sn} is given by

1.1

where

1.2

Cowling [l] has shown that this method is regular if and only if 0 ≦ r < 1. Since r = 0 corresponds to ordinary convergence, it will be assumed here that 0 < r < 1.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 6 , December 1965 , pp. 797 - 808
Copyright
Copyright © Canadian Mathematical Society 1965

References

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