A Note on Hermite–Hadamard–Fejer Type Inequalities for Functions Whose n -th Derivatives Are m -Convex or (α , m)-Convex Functions.

In this paper, we develop some Hermite–Hadamard–Fejér type inequalities for n-times differentiable functions whose absolute values of n -th derivatives are (α , m) -convex function. The results obtained in this paper are extensions and generalizations of the existing ones. As a special case, the generalization of the remainder term of the midpoint and trapezoidal quadrature formulas are obtained. [ABSTRACT FROM AUTHOR]