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

Artion Kashuri () and Rozana Liko ()
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Artion Kashuri: University Ismail Qemali of Vlora
Rozana Liko: University Ismail Qemali of Vlora

A chapter in Differential and Integral Inequalities, 2019, pp 459-479 from Springer

Abstract: 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-27407-8_15

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DOI: 10.1007/978-3-030-27407-8_15

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