New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function


Jamshed Nasir, Shahid Qaisar, Ather Qayyum, Hüseyin Budak




The purpose of this article is to construction Hermite-Hadamard type inequalities via Caputo- Fabrizio fractional integral for s-convex function. The results are applied to fractional variations of Hermite- Hadamard type inequalities for differentiable mapping φ with s-convex absolute value derivatives. The findings also provide a new lemma for φ′ and new limits via Caputo-Fabrizio fractional operator by using the well-known Hölder’s integral inequalities. Moreover some new bounds for applications of matrix and special means of different positive real numbers are also discussed.