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
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
收藏
页数:31
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