Hermite-Hadamard-Fejér inequality related to generalized convex functions via fractional integrals (Q1728871)

Summary: This paper deals with Hermite-Hadamard-Fejér inequality for \((\eta_1, \eta_2)\)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is \((\eta_1, \eta_2)\)-convex functions are obtained. Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive \((\eta_1, \eta_2)\)-convex function is increasing.