The Perturbed Median Principle for Integral Inequalities with Applications

Part of the Springer Optimization and Its Applications book series (SOIA, volume 35)


In this paper, a perturbed version of the median principle introduced by the author in [1] is developed. Applications for various Riemann–Stieltjes integral and Lebesgue integral inequalities are also provided.


Monotonicity Property Maximal Order Integral Inequality Positive Quantity Kluwer Acad 
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  1. 1.
    S.S. Dragomir, The median principle for inequalities and applications, in Functional Equations, Inequalities and Applications, Ed. by Th.M. Rassias, Kluwer Acad. Publ., 2003. Preprint, RGMIA Res. Rep. Coll., 5(2002), Supplement, Article 17. [].
  2. 2.
    S.S. Dragomir, Improvements of Ostrowski and generalised trapezoid inequality in terms of the upper and lower bounds of the first derivative, Tamkang J. Math., 34(3) (2003), 213-222. Preprint, RGMIA Res. Rep. Coll., 5(2002), Supplement, Article 10. [].
  3. 3.
    A. Ostrowski, On an integral inequality, Aequat. Math., 4(1970), 358–73.MATHCrossRefMathSciNetGoogle Scholar

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Research Group in Mathematical Inequalities & Applications, School of Engineering and ScienceVictoria UniversityMelbourne CityAustralia

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