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Explicit formulae connecting Hölder's, Cesàro's and another mean value
Published online by Cambridge University Press: 24 October 2008
Extract
1. Having given the terms sn of a sequence
then Hölder's means 
are defined by
Cesàro's means 
are defined by
and a third kind, σ, of mean which will be used in this paper is defined by
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 28 , Issue 1 , January 1932 , pp. 1 - 17
- Copyright
- Copyright © Cambridge Philosophical Society 1932
References
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* I am indebted to Prof. Hardy for the suggestion to consult in particular the paper of Ford.
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