On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional Integrals

Abstract

In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable $\left( \eta _{1},\eta _{2}\right) -$ convex functions involving some parameters and generalized fractional integrals. We show that these results reduces to several new Simpson, midpoint and trapezoid type inequalities. Some special cases are also discussed.