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A SHARP VERSION OF BONSALL’S INEQUALITY

Part of: Integral transforms, operational calculus

Published online by Cambridge University Press:  19 August 2015

T. C. PEACHEY
T. C. PEACHEY*
Affiliation:
Research Computing Centre, University of Queensland, St. Lucia, Queensland 4072, Australia email tcp.free@gmail.com
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Abstract

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The best possible constant in a classical inequality due to Bonsall is established by relating that inequality to Young’s. Further, this extends the range of Bonsall’s inequality and yields a reverse inequality. It also provides a better constant in an inequality of Hardy, Littlewood and Pólya.

Keywords

Bonsall’s inequalityconvolutionYoung’s inequalitySchur’s inequality

MSC classification

Secondary: 44A35: Convolution
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 397 - 404
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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