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12.—On an Inequality of Hardy and Littlewood*

Published online by Cambridge University Press:  14 February 2012

K. W. Brodlie  and
W. N. Everitt
K. W. Brodlie
Affiliation:
Department of Mathematics, University of Dundee
W. N. Everitt
Affiliation:
Department of Mathematics, University of Dundee
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Extract

This paper considers a natural extension of the following inequality of Hardy and Littlewood

to an inequality of the form

where μ>0 and 0<K(μ)<∞. The best possible value of k(μ) is determined, and all the cases of equality.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 179 - 186
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

References to Literature

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