GENERALIZED MULTIVARIATE PRABHAKAR TYPE FRACTIONAL INTEGRALS AND INEQUALITIES

被引：0

作者：

Anastassiou, George A. ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | 2021年 / 12卷 / 04期

关键词：

Prabhakar fractional integral; Hardy inequality; generalized fractional integral; convexity; CALCULUS;

D O I：

10.54379/JIASF-2021-4-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce here the mixed generalized multivariate Prabhakar type left and right fractional integrals and study their basic properties, such as preservation of continuity and their boundedness as positive linear operators. Then we produce an interesting variety of related multivariate left and right fractional Hardy type inequalities under convexity. We introduce also other related multivariate fractional integrals.

引用

页码：1 / 15

页数：15

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