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Bull. Korean Math. Soc. 2012; 49(6): 1263-1274

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1263

Copyright © The Korean Mathematical Society.

On Opial inequalities involving higher order derivatives

Chang-Jian Zhao and Wing-Sum Cheung

China Jiliang University, The University of Hong Kong

Abstract

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In the present paper we establish some new Opial-type inequalities involving higher order partial derivatives. The results in special cases yield some of the recent results on Opial's inequality and provide new estimates on inequalities of this type.

Keywords: Opial's inequality, Opial-type inequalities, H\"{o}lder's inequality

MSC numbers: 26D15

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