충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권2호
  • /
  • Pages.165-172
  • /
  • 2014
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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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)
  • 투고 : 2013.10.11
  • 심사 : 2014.01.06
  • 발행 : 2014.05.15
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초록

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.

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참고문헌

  1. D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993, 2126.
  2. D. S. Mitrinovic and P. M. Vasic, Analytic Inequalities, Springer-Verlag, New York, 1970, 7494.
  3. S. Wu, Generalization of Rados inequality involving multiple parameters and its applications, College Math. 21, (2005) 107111.
  4. S. Wu, Generalization and sharpness of power means inequality and their applications, J. Math. Anal. Appl. 312 (2005) 637652.
  5. S. Wu, Two generalized versions of Popovicius inequality, J. Sichuan Normal Univ. Nat. Sci. Ed. 27 (2004), no. 3, 251254.