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A reverse Hölder type inequality for the logarithmic mean and generalizations

Published online by Cambridge University Press:  17 February 2009

John Maloney ,
Jack Heidel  and
Josip Pečarić
John Maloney
Affiliation:
Department of Mathematics, University of Nebraska at Omaha, Omaha Nebraska 68182, USA
Jack Heidel
Affiliation:
Department of Mathematics, University of Nebraska at Omaha, Omaha Nebraska 68182, USA
Josip Pečarić
Affiliation:
Faculty of Textile Technology, Zagreb, Croatia
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Abstract

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An inequality involving the logarithmic mean is established. Specifically, we show that

where . Then several generalizations are given.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 3 , January 2000 , pp. 401 - 409
Copyright
Copyright © Australian Mathematical Society 2000

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