On Beesack-Wirtinger Inequality

被引：9

作者：

Alomari, Mohammad W. ^{[1
]}

机构：

[1] Irbid Natl Univ, Dept Math, Fac Sci & Informat Technol, POB 2600, Irbid 21110, Jordan

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Wirtinger inequality; Beesack inequality; Cebysev inequality;

D O I：

10.1007/s00025-016-0644-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, inequalities of Beesack-Wirtinger type for absolutely continuous functions whose derivatives belong to spaces are proved. Generalizations of the results for n-times differentiable functions are established. Consequently, two Ostrowski and ebyev type inequalities for absolutely continuous functions whose derivatives belong to spaces are provided.

引用

页码：1213 / 1225

页数：13

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