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On the approach of a series to its Cesàro limit

Published online by Cambridge University Press:  20 January 2009

J. M. Hyslop
J. M. Hyslop
Affiliation:
The University, Glasgow
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The object of this paper is to investigate some properties of series which satisfy conditions of the form

where 0 < ρ ≦ p. denotes, as usual, the n-th Cesàro sum of order p for the series ∑an and the binomial coefficient . It is convenient to state here some properties of and to which we must constantly refer in the sequel.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 4 , September 1938 , pp. 182 - 201
Copyright
Copyright © Edinburgh Mathematical Society 1938

References

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