
We extend the Montgomery identities for the Riemann‐Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.
26D15, 41A55, 26D10, Fractional derivatives and integrals, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, Montgomery identities, Riemann-Liouville fractional integrals, Mathematics
26D15, 41A55, 26D10, Fractional derivatives and integrals, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, Montgomery identities, Riemann-Liouville fractional integrals, Mathematics
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