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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.

weight ; function ; Hermite–Hadamard ; Fejér ; onepoint integral formula ; trapezoid formula ; midpoint formula

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