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Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications

  • Artion Kashuri
  • Rozana Liko
Chapter
First Online:
Part of the Springer Optimization and Its Applications book series (SOIA, volume 151)

Abstract

The authors discover a general fractional integral identity regarding Hermite–Hadamard type inequality for twice differentiable functions. By using this integral equation, the authors derive some new estimates difference between the left and middle part in Hermite–Hadamard type integral inequality associated with twice differentiable generalized relative semi-m-(r;h1, h2)-preinvex mappings defined on m-invex set. It is pointed out that some new special cases can be deduced from main results. At the end, some applications to special means for different positive real numbers are provided as well.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Artion Kashuri
    • 1
  • Rozana Liko
    • 1
  1. 1.Department of Mathematics, Faculty of Technical ScienceUniversity Ismail Qemali of VloraVlorëAlbania

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