Generalizations and Refinements of Hermite-Hadamard's Inequality

Qi, Feng, Wei, Zong-Li and Yang, Qiao (2001) Generalizations and Refinements of Hermite-Hadamard's Inequality. RGMIA research report collection, 5 (2).


In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex functions, from which Hermite-Hadamard’s inequality is extended and refined.

Item type Article
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords harmonic sequence of polynomials, Hermite-Hadamard’s inequality, Appell condition, n-convex function, bounded derivative
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