改进的wirtinger型积分不等式。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-09 DOI:10.1186/s13660-018-1700-4

Liansheng Zhang, Shuxia Wang

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引用次数: 3

摘要

基于多元函数的极值条件，建立了一类新的wirtinger型二重积分不等式。本文提出的不等式对经典的基于wirtinger的积分不等式进行了推广和改进，与Jensen的二重积分不等式和其他文献中的二重积分不等式相比，具有更小的保守性。因此，由改进的wirtinger型积分不等式导出的时滞控制系统的稳定性判据比已有的文献结果保守性更小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Refined Wirtinger-type integral inequality.

Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper. The proposed inequality generalizes and refines the classical Wirtinger-based integral inequality and has less conservatism in comparison with Jensen's double integral inequality and other double integral inequalities in the literature. Thus, the stability criteria for delayed control systems derived by the proposed refined Wirtinger-type integral inequality are less conservative than existing results in the literature.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.