Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Sikander Mehmood, Fiza Zafar and Nusrat Yasmin
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Sikander Mehmood: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
Fiza Zafar: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
Nusrat Yasmin: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

Mathematics, 2019, vol. 7, issue 5, 1-11

Abstract: In this paper, we have established the Hermite–Hadamard–Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates of the left and right hand side of the Hermite–Hadamard inequalities for fractional integrals involving preinvex functions doesn’t exist previously.

Keywords: Hermite–Hadamard inequality; Hermite–Hadamard–Fejér inequality; Riemann–Liouville fractional integral; preinvex function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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