WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING FRACTIONAL CALCULUS OPERATORS

被引：0

作者：

Iqbal, Sajid ^{[1
]}

Pecaric, Josip ^{[2
]}

Samraiz, Muhammad ^{[3
]}

Tomovski, Zivorad ^{[4
]}

机构：

[1] Univ Sargodha, Dept Math, Subcampus Mianwali, Mianwali, Pakistan

[2] Univ Zagreb, Fac Text Technol, Zagreb, Croatia

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

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

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2018年 / 22卷 / 534期

关键词：

Inequalities; convex function; fractional derivatives; generalized fractional integral operator;

D O I：

10.21857/ydkx2cr509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to give a new class of general weighted Hardy-type inequalities involving an arbitrary convex function with some applications of generalized fractional calculus convolutive operators which contain Gauss-hypergeometric function, generalized Mittag-Leffler function and Hilfer fractional derivative operator, in the kernel.

引用

页码：77 / 91

页数：15

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