Title of article :
On generalization of midpoint and trapezoid type inequalities involving fractional integrals
Author/Authors :
Zeki Sarikaya, Mehmet Duzce University , Sonmezoglu, Sumeyye Duzce University
Abstract :
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.
Keywords :
Hermite-Hadamard inequality , midpoint inequality , fractional integral operators , convex function
Journal title :
Journal of Mathematical Extension(IJME)