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New bounds for Hermite-Hadamard's trapezoid and mid-point type inequalities via fractional integrals

New bounds for Hermite-Hadamard's trapezoid and mid-point type inequalities via fractional integrals

Some trapezoid and mid-point type inequalities with new bounds for Hermite-Hadamard inequality related to Riemann-Liouville integrals of order ˛> 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.