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Certain novel estimates within fractional calculus theory on time scales

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成果类型:
期刊论文
作者:
Shen, Jian-Mei;Rashid, Saima;Noor, Muhammad Aslam;Ashraf, Rehana;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Shen, Jian-Mei] Hunan Univ, Sch Finance & Stat, Changsha 410079, Peoples R China.
[Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan.
[Noor, Muhammad Aslam] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan.
[Ashraf, Rehana] Lahore Coll Women Univ, Dept Math, Lahore 54660, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
语种:
英文
关键词:
Pólya-Szegö type inequality;Riemann-Liouville fractional integral;Time scale;Čebyšev inequality
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2020
卷:
5
期:
6
页码:
6073-6086
基金类别:
The authors would like to thank the anonymous referees for their valuable comments and suggestions, which led to considerable improvement of the article. The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11971142, 11701176).
机构署名:
本校为通讯机构
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 Pólya-Szegö and Čebyšev type inequalities on time scales. Some new Pólya-Szegö, Čebyšev and extended Čebyšev 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 present...

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