ON SOME HARDY-TYPE INEQUALITIES FOR FRACTIONAL CALCULUS OPERATORS

被引：5

作者：

Iqbal, Sajid ^{[1
]}

Pecaric, Josip ^{[2
]}

Samraiz, Muhammad ^{[3
]}

Tomovski, Zivorad ^{[4
,5
]}

机构：

[1] Univ Sargodha, Dept Math, Sub Campus Bhakkar, Bhakkar, Pakistan

[2] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28A, Zagreb 10000, Croatia

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

[4] Fac Math & Nat Sci, Gazi Baba BB, Skopje 1000, Macedonia

[5] Univ Rijeka, Dept Math, Radmile Matejc 2, Rijeka 51000, Croatia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2017年 / 11卷 / 02期

关键词：

DERIVATIVES; KERNELS;

D O I：

10.1215/17358787-0000012X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we present applications of Hardy-type and refined Hardy-type inequalities for a generalized fractional integral operator involving the Mittag-Leffler function in its kernel and for the Hilfer fractional derivative using convex and monotone convex functions.

引用

页码：438 / 457

页数：20

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