Title of article :
new midpoint type inequalities for generalized fractional integral
Author/Authors :
budak, huseyin duzce university - faculty of science and arts - department of mathematics, duzce, turkey , kara, hasan duzce university - faculty of science and arts - department of mathematics, duzce, turkey , kapucu, rabia duzce university - faculty of science and arts - department of mathematics, duzce, turkey
Abstract :
in this paper, we rst establish two new identities for differentiable function involving generalized fractional integrals. then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. we also give several results as special cases of our main results.
Keywords :
hermite , hadamard inequality , generalized fractional integral , convex function
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations