Geodesic
Hermite-Hadamar's inequalities for $\eta$-convex functions via conformable fractional integrals and related inequalities
M. Adil Khan1 ; Yousaf Khurshid1 ; M. Adil Khan ; Yousaf Khurshid
1Department of Mathematics, University of Peshawar, Peshawar, Pakistan
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 157-169 
M. Adil Khan; Yousaf Khurshid; M. Adil Khan; Yousaf Khurshid. Hermite-Hadamar's inequalities for $\eta$-convex functions via conformable fractional integrals and related inequalities. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 157-169. http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a2/
@article{AMUC_2021_90_2_a2,
     author = {M. Adil Khan and Yousaf Khurshid and M. Adil Khan and Yousaf Khurshid},
     title = { Hermite-Hadamar's inequalities for $\eta$-convex functions via conformable fractional integrals and related inequalities},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {157--169},
     year = {2021},
     volume = {90},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we present a Hermite-Hadamard inequality for conformable fractional integrals by using $\eta$-convex functions. We also establish an identity associated to the right hand side of Hermite-Hadamard inequality for $\eta$-convex functions, then by using this identity and $\eta$-convexity of functions and some well-known inequalities we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.