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The relation between Riemann's method of summation and Cesàro's

Published online by Cambridge University Press:  24 October 2008

S. Verblunsky
S. Verblunsky
Affiliation:
Magdalene College
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Extract

A series is said to be summable by Riemann's method of order k to S, or summable (R, k) to S, if

where k is a positive integer, and where we suppose that

is convergent for values of h in a neighbourhood of the origin.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 1 , January 1930 , pp. 34 - 42
Copyright
Copyright © Cambridge Philosophical Society 1930

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