doiSerbia

Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals via s-convex functions and applications to special means

Wang Jinrong (Guizhou University, Department of Mathematics, Guiyang, Guizhou, P.R. China + Guizhou Normal College, School of Mathematics and Computer Science, Guiyang, Guizhou, P.R. China)
Li Xuezhu (Guizhou University, Department of Mathematics, Guiyang, Guizhou, P.R. China)
Zhou Yong (Xiangtan University, Department of Mathematics, Xiangtan, Hunan, P.R. China)

In this paper, we establish some new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite-Hadamard type inequalities. Some applications to special means of real numbers are given.

Keywords: Hermite-Hadamard inequalities, s-convex functions, Riemann-Liouville fractional integrals, Integral inequalities