New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform

被引：2

作者：

El-Deeb, A. A. ^{[1
]}

Rashid, Saima ^{[2
]}

Khan, Zareen A. ^{[3
]}

Makharesh, S. D. ^{[1
]}

机构：

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

[2] Govt Coll GC Univ, Dept Math, Faisalabad 38000, Pakistan

[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Hilbert's inequality; Dynamic inequality; Time scales; Fenchel-Young inequality; 26D10; 26D15; 26E70; 34A40; NONLINEAR INTEGRAL-INEQUALITIES; GRONWALL;

D O I：

10.1186/s13662-021-03394-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel-Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.

引用

页数：24