Some Hardy's inequalities on conformable fractional calculus

被引：0

作者：

AlNemer, Ghada ^{[2
]}

Saker, Samir H. ^{[3
,4
]}

Ashry, Gehad M. ^{[5
]}

Zakarya, Mohammed ^{[6
]}

Rezk, Haytham M. ^{[1
]}

Kenawy, Mohammed R. ^{[5
,7
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Egypt

[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 105862, Riyadh 11656, Saudi Arabia

[3] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura 7723730, Egypt

[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[5] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum, Egypt

[6] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[7] Buraydah Private Coll, Engn & Informat Technol Coll, Comp Engn Dept, Buraydah 51418, Saudi Arabia

来源：

DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期

关键词：

Hardy's inequality; chain rule; conformable fractional calculus; H & ouml; lder's inequality; Jensen's inequality; OPIAL-TYPE;

D O I：

10.1515/dema-2024-0027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we will demonstrate some Hardy's inequalities by utilizing H & ouml;lder inequality, integration by parts, and chain rule of the conformable fractional calculus. When alpha = 1 \alpha =1 , we can obtain some of classical Copson's and Hardy's inequalities. In the end, we will obtain an application of Hardy's inequality utilizing the conformable fractional calculus.

引用

页数：23

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