NEW BOUNDS FOR HERMITE-HADAMARD'S TRAPEZOID AND MID-POINT TYPE INEQUALITIES VIA FRACTIONAL INTEGRALS

摘要

Some trapezoid and mid-point type inequalities with new bounds for Hermite-Hadamard inequality related to Riemann-Liouville integrals of order alpha > 0 are obtained. Also a refinement of Hermite-Hadamard inequality for nonnegative monotone convex functions is presented. Furthermore some applications in connection with special means are given.