Some inequalities constructed by Tchebysheff's integral inequality

被引：66

作者：

Qi, F ^{[1
]}

Cui, LH

Xu, SL

机构：

[1] Jiaozuo Inst Technol, Dept Math, Jiaozuo City 454000, Henan, Peoples R China

[2] Zhengzhou Grain Coll, Dept Fundamental Courses, Zhengzhou 450052, Henan, Peoples R China

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 1999年 / 2卷 / 04期

关键词：

probability integral; Conte's inequality; Jordan's inequality; Fejer-Jackson's inequality; Tchebysheff's integral inequality; trigonometric function; integral inequality; Wallis' inequality;

D O I：

10.7153/mia-02-42

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the article, using Tchebysheff's integral inequality, the authors refine Conte's inequality and some estimates concerning the probability integral which are related to the Mills' ratio, form several inequalities of trigonometric functions, obtain some integral inequalities and estimates of definite integrals related to sinx/x, x is an element of [0, pi/2], and construct many miscellaneous inequalities.

引用

页码：517 / 528

页数：12