Some generalizations of the Hermite–Hadamard integral inequality

被引：0
|
作者：
Slavko Simić
Bandar Bin-Mohsin
机构：
[1] Mathematical Institute SANU,Department of Mathematics, College of Science
[2] King Saud University,undefined
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Hermite–Hadamard integral inequality; Twice differentiable functions; Convex functions; Simpson’s rule; 26D07; 26D15;
D O I：
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学科分类号：
摘要：
In this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assumed in advance. They represent a refinement of this inequality in the case of convex/concave functions with numerous applications.
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