Ostrowski type inequalities

被引：77

作者：

Anastassiou, GA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 12期

关键词：

function average; deviation of a function; best constant; sharp attained inequality;

D O I：

10.2307/2161906

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal upper bounds are given to the deviation of a function f epsilon C-N([a, b]), N epsilon N, from its averages. These bounds are of the form A .//f((N))//(infinity), where A is the smallest universal constant, i.e., the produced inequalities are sharp and sometimes are attained. This work has been greatly motivated by the works of Ostrowski (1938) and Fink (1992).

引用

页码：3775 / 3781

页数：7