Modification of certain fractional integral inequalities for convex functions

By Pshtiwan Othman Mohammed, Thabet Abdeljawad. 2020

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We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3c34f72c54d852f3c19404d658fe67ab4c49cfa3