Some majorization integral inequalities for functions defined on rectangles.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-27 DOI:10.1186/s13660-018-1739-2

Shanhe Wu, Muhammad Adil Khan, Abdul Basir, Reza Saadati

引用次数: 9

Abstract

In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard's inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248-262, 1995) in an earlier paper.

查看原文本刊更多论文

定义在矩形上的函数的几个最大化积分不等式。

本文首先证明了矩形上定义的函数的积分不等式的一个积分多数定理。然后，我们将结果应用于建立矩形函数的一些新的积分不等式。得到的结果是加权法瓦德不等式的推广，它也提供了Maligranda等人给出的结果的推广。分析的应用学报，1990:248-262,1995)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.