The Minkowski's inequality by means of a generalized fractional integral

被引：18
|
作者：
Sousa, J. Vanterler da C. [1 ]
Capelas de Oliveira, E. [1 ]
机构：
[1] Univ Estadual Campinas, Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
来源：
AIMS MATHEMATICS | 2018年 / 3卷 / 01期
关键词：
Minkowski's inequality; generalized fractional integral; HARMONICALLY CONVEX-FUNCTIONS; HERMITE-HADAMARD INEQUALITY; EXTENSIONS;
D O I：
10.3934/Math.2018.1.131
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the definition of a fractional integral, recently proposed by Katugampola, to establish a generalization of the reverse Minkowski's inequality. We show two new theorems associated with this inequality, as well as state and show other inequalities related to this fractional operator.
引用
收藏
页码：131 / 147
页数：17
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