• Title/Summary/Keyword: Giaccardi's inequality

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SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES

  • Banic, Senka;Pecaric, Josip;Varosanec, Sanja
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.513-525
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    • 2008
  • Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the Converse and the Reverse Jensen type inequalities, the Giaccardi and the Petrovic type inequalities and Hermite-Hadamard's inequalities. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given.