Riemann-Liouville fractional versions of Hadamard inequality for strongly $(\alpha,m)$-convex functions
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Abstract
The refinement of an inequality provides better convergence of one quantity towards the other one. We have established the refinements of Hadamard inequalities for Riemann-Liouville fractional integrals via strongly $({\alpha},m)$-convex functions. In particular, we obtain two refinements of the classical Hadamard inequality. By using some known integral identities we also give refinements of error bounds of some fractional Hadamard inequalities.
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