Some New Generalizations of Reverse Hilbert-Type Inequalities on Time Scales

被引：8
|
作者：
Rezk, Haytham M. [1 ]
AlNemer, Ghada [2 ]
Saied, Ahmed, I [3 ]
Bazighifan, Omar [4 ]
Zakarya, Mohammed [5 ,6 ]
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 84428, Riyadh 11671, Saudi Arabia
[3] Benha Univ, Fac Sci, Dept Math, Banha 13518, Egypt
[4] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[5] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia
[6] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词：
reverse Hilbert-type inequalities; Specht's ratio; time scales; reverse Holder inequalities;
D O I：
10.3390/sym14040750
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This manuscript develops the study of reverse Hilbert-type inequalities by applying reverse Holder inequalities on T. We generalize the reverse inequality of Hilbert-type with power two by replacing the power with a new power beta, beta > 1. The main results are proved by using Specht's ratio, chain rule and Jensen's inequality. Our results (when T = N) are essentially new. Symmetrical properties play an essential role in determining the correct methods to solve inequalities.
引用
收藏
页数：24
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