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

In: Differential and Integral Inequalities

Author

Listed:
  • Artion Kashuri

    (University Ismail Qemali of Vlora)

  • Rozana Liko

    (University Ismail Qemali of Vlora)

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;h 1, h 2)-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.

Suggested Citation

  • Artion Kashuri & Rozana Liko, 2019. "Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications," Springer Optimization and Its Applications, in: Dorin Andrica & Themistocles M. Rassias (ed.), Differential and Integral Inequalities, pages 459-479, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-27407-8_15
    DOI: 10.1007/978-3-030-27407-8_15
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