Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES

  • Banic, Senka (FACULTY OF CIVIL ENGINEERING AND ARCHITECTURE UNIVERSITY OF SPLIT) ;
  • Pecaric, Josip (FACULTY OF TEXTILE TECHNOLOGY UNIVERSITY OF ZAGREB) ;
  • Varosanec, Sanja (DEPARTMENT OF MATHEMATICS UNIVERSITY OF ZAGREB)
  • Published : 2008.03.31
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Abstract

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.

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References

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