广义积分詹森不等式

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-02-20 DOI:10.1186/s13660-024-03106-4

Saeed Nazari Pasari, Ali Barani, Naser Abbasi

引用次数: 0

摘要

本文介绍了实值函数成为前凸函数的必要条件和充分条件。文中给出了前凸函数的一些性质以及在这种情况下詹森积分型不等式的新版本。本文还涉及几个实例。

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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Generalized integral Jensen inequality

In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

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.