On Opial-Rozanova type inequalities

Volume 9, Issue 5, pp 2099--2104 http://dx.doi.org/10.22436/jnsa.009.05.15

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Authors

Chang-Jian Zhao - Department of Mathematics, China Jiliang University, Hangzhou 310018, China. Yue-Sheng Wu - Department of Mathematics, China Jiliang University, Hangzhou 310018, China. Wing-Sum Cheung - Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong.

Abstract

In the present paper we establish some inverses of Rozanova's type integral inequalities. The results in special cases yield reverse Rozanova's, Godunova's and Pölya's inequalities.

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Keywords

• Opial's inequality
• Jensen's inequality
• Rozanova's inequality.

MSC

•  26E60

References

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