
doi: 10.3934/math.2021043
<abstract> <p>The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard-Mercer type inequality for differentiable convex functions. Further remarks and observations for these results are given. Finally, we see the efficiency of our inequalities via some applications on special means.</p> </abstract>
riemann-liouville fractional integral, jensen-mercer inequality, hermite-hadamard-mercer inequality, Inequalities involving derivatives and differential and integral operators, Hermite-Hadamard-Mercer inequality, Fractional derivatives and integrals, Jensen-Mercer inequality, QA1-939, Inequalities for sums, series and integrals, Riemann-Liouville fractional integral, Inequalities involving other types of functions, Mathematics
riemann-liouville fractional integral, jensen-mercer inequality, hermite-hadamard-mercer inequality, Inequalities involving derivatives and differential and integral operators, Hermite-Hadamard-Mercer inequality, Fractional derivatives and integrals, Jensen-Mercer inequality, QA1-939, Inequalities for sums, series and integrals, Riemann-Liouville fractional integral, Inequalities involving other types of functions, Mathematics
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