Simpson's Rule and Hermite-Hadamard Inequality for Non-Convex Functions

被引：3
|
作者：
Simic, Slavko [1 ,2 ]
Bin-Mohsin, Bandar [3 ]
机构：
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City 758307, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 758307, Vietnam
[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
MATHEMATICS | 2020年 / 8卷 / 08期
关键词：
hermite-hadamard integral inequality; twice differentiable functions; convex functions;
D O I：
10.3390/math8081248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we give a variant of the Hermite-Hadamard integral inequality for twice differentiable functions. It represents an improvement of this inequality in the case of convex/concave functions. Sharp two-sided inequalities for Simpson's rule are also proven along with several extensions.
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收藏
页数：10
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