MMN-2796

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

M. Rostamian Delavar;

Abstract

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.


Vol. 20 (2019), No. 2, pp. 849-861
DOI: https://doi.org/10.18514/MMN.2019.2796


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