Journal of Function Spaces (Jan 2019)

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

  • Yousaf Khurshid,
  • Muhammad Adil Khan,
  • Yu-Ming Chu,
  • Zareen Abdulhameed Khan

DOI
https://doi.org/10.1155/2019/3146210
Journal volume & issue
Vol. 2019

Abstract

Read online

In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex functions; then by using this identity and preinvexity of functions and some well-known inequalities, we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.