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An extension of a theorem on the equivalence between absolute Rieszian and absolute Cesàro summability

Published online by Cambridge University Press:  18 May 2009

D. Borwein
D. Borwein
Affiliation:
St. Salvator's College, University of St. Andrews
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be a given series and let

With Flett [4], we say that the series is summable , q real, if

where Summability |C, k, 0|1 is identical with absolute Cesàro summability (C, k), or summability |C, k|, as defined by Fekete [3].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 2 , July 1959 , pp. 81 - 83
Copyright
Copyright © Glasgow Mathematical Journal Trust 1959

References

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