Some Refinements of Jensens Inequality on Product Spaces

Volume 15, Issue 4, pp 281-286 http://dx.doi.org/10.22436/jmcs.015.04.04

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Authors

Peter O. Olanipekun - Research Group in Mathematics and Applications Department of Mathematics, University of Lagos, Nigeria Adesanmi A. Mogbademu - Research Group in Mathematics and Applications Department of Mathematics, University of Lagos, Nigeria

Abstract

In this paper, we give some refinements of the classical Jensen's inequality which generalizes some results already obtained in literatures.

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Keywords

• Convex function
• Jensen's inequality
• Fubini's theorem
• \(L^p\) spaces.

MSC

•  26D07
•  26D15
•  26D20
•  26D99

References

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• [2] P. O. Olanipekun, A. A. Mogbademu, A note on generalization of classical Jensen's inequality, J. Math. Computer Sci. , 13 (2014), 68-70.
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• [3] J. ROOIN, A refinement of Jensen's inequality, J. Inequal. Pure and Appl. Math., 6(2) Art. 38 (2005)
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• [4] W. RUDIN, Real and Complex Analysis, 3rd ed., McGraw-Hill , New York (1974)
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