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Some Hermite-Hadamard type inequalities for functions whose n-th derivatives are (α, m)-convex

Li Wen-Hui (Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China)
Qi Feng (Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China)

In the paper, the authors establish some new integral inequalities of Hermite-Hadamard type for functions whose n-th derivatives are of (α, m)-convexity and, from these, deduce some known results.

Keywords: Hermite-Hadamard integral inequality, differentiable function, convex function, (α, m)-convex function