On generalization of midpoint and trapezoid type inequalities involving fractional integrals

Mehmet Zeki Sarikaya, Sumeyye Sonmezoglu


In this paper, we first prove a lemma for twice differentiable functions . Then we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies.

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