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A simple proof of the Beckenbach-Lorentz inequality

Published online by Cambridge University Press:  17 April 2009

B. Mond  and
J.E. Pečarić
B. Mond
Affiliation:
Department of Mathematics, La Trobe University, Bundoora Vic 3083, Australia
J.E. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia and Department of Mathematics, La Trobe University, Bundoora Vic 3083, Australia
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Abstract

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One of the well-known generalisations of the Hölder inequality was given by Beckenbach. An inverse to this inequality for the discrete case has appeared in the literature. Here we give a simple proof of the inverse to the Beckenbach inequality that is applicable to both the integral and discrete cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 417 - 420
Copyright
Copyright © Australian Mathematical Society 1995

References

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