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.

引用

页数：10

共 7 条

[1] SHARP BOUNDS ON THE SINC FUNCTION VIA THE FOURIER SERIES METHOD [J].