Novel Fractional Dynamic Hardy-Hilbert-Type Inequalities on Time Scales with Applications

被引：10

作者：

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

Awrejcewicz, Jan ^{[2
]}

机构：

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

[2] Lodz Univ Technol, Dept Automat Biomechan & Mech, 1-15 Stefanowski St, PL-90924 Lodz, Poland

来源：

MATHEMATICS | 2021年 / 9卷 / 22期

关键词：

Hardy-Hilbert's inequality; Holder's and Jensen's inequality; time scale;

D O I：

10.3390/math9222964

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of the present article is to prove some new backward difference dynamic inequalities of Hardy-Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel-Legendre transform, submultiplicative functions. We prove the (gamma,a)-nabla conformable Holder's and Jensen's inequality on time scales. We prove several inequalities due to Hardy-Hilbert inequalities on time scales. Furthermore, we introduce the continuous inequalities and discrete inequalities as special case.

引用

页数：31