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http://dx.doi.org/10.14403/jcms.2014.27.2.165

RADO'S AND POPONOV'S INEQUALITIES OF PROBABILITY MEASURES FOR POSITIVE REAL NUMBERS  

Lee, Hosoo (College of Basic Studies Yeungnam University)
Kim, Sejong (Department of Mathematics Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 165-172 More about this Journal
Abstract
In this paper, we derive some valuable inequalities of Rado's and Poponov's types on the open interval of positive real numbers, and then show weighted generalizations of Rado's and Poponov's inequalities on the set of positive real numbers equipped with compactly supported probability measure.
Keywords
Rado's inequality; Poponov's inequality; compactly supported measure;
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1 D. S. Mitrinovic and P. M. Vasic, Analytic Inequalities, Springer-Verlag, New York, 1970, 7494.
2 S. Wu, Generalization of Rados inequality involving multiple parameters and its applications, College Math. 21, (2005) 107111.
3 S. Wu, Generalization and sharpness of power means inequality and their applications, J. Math. Anal. Appl. 312 (2005) 637652.
4 S. Wu, Two generalized versions of Popovicius inequality, J. Sichuan Normal Univ. Nat. Sci. Ed. 27 (2004), no. 3, 251254.
5 D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993, 2126.