Certain novel estimates within fractional calculus theory on time scales

被引：32

作者：

Shen, Jian-Mei ^{[1
]}

Rashid, Saima ^{[2
]}

Noor, Muhammad Aslam ^{[3
]}

Ashraf, Rehana ^{[4
]}

Chu, Yu-Ming ^{[5
,6
]}

机构：

[1] Hunan Univ, Sch Finance & Stat, Changsha 410079, Peoples R China

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

[3] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan

[4] Lahore Coll Women Univ, Dept Math, Lahore 54660, Pakistan

[5] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[6] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

Polya-Szego type inequality; Cebygev inequality; Riemann-Liouville fractional integral; time scale; INEQUALITIES;

D O I：

10.3934/math.2020390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The key purpose of this study is to suggest a delta Riemann-Liouville (RL) fractional integral operators for deriving certain novel refinements of Polya-Szego and Cebysev type inequalities on time scales. Some new Polya-Szego, Cebysev and extended Cebysev inequalities via delta-RL fractional integral operator on a time scale that captures some continuous and discrete analogues in the relative literature. New explicit bounds for unknown functions concerned are obtained due to the presented inequalities.

引用

页码：6073 / 6086

页数：14

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