EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 211–216 (2016)

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REVERSE HÖLDER INEQUALITY AND ITS APPLICATIONS

Chang-Jian Zhao, Wing Sum Cheung

Department of Mathematics, China Jiliang University, Hangzhou, P. R. China; Department of Mathematics, The University of Hong Kong, Hong Kong

Abstract: We establish a new reverse Hölder's integral inequality and its discrete version. As applications, we prove reverse Radon's, Jensen's and weighted power mean inequalities and their discrete versions.

Keywords: Hölder's inequality; Radon's inequality; Jensen's inequality; power mean inequality

Classification (MSC2000): 26D15

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Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

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