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A reversed Hardy inequality

Published online by Cambridge University Press:  17 April 2009

P. F. Renaud
P. F. Renaud
Affiliation:
Department of Mathematics, University of Canterbury, Private Bag, Christchurch, New Zealand.
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Abstract

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We consider Hardy's classical inequality for Cesaro averages and show that a reversed version exists if we restrict ourselves to monotone sequences. Some consequences of this result as well as an integral version are also obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 2 , October 1986 , pp. 225 - 232
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities, (Cambridge University Press, London, New York 1964).Google Scholar
[2]Lyons, R., “A lower bound on the Cesaro operator”, Proc, Amer. Math. Soc. 86 (1982), 694.Google Scholar