Certain novel estimates within fractional calculus theory on time scales

Certain novel estimates within fractional calculus theory on time scales

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 integra...

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Bibliographic Details
Main Authors: Jian-Mei Shen, Saima Rashid, Muhammad Aslam Noor, Rehana Ashraf, Yu-Ming Chu
Format: Article
Language:English
Published: AIMS Press 2020-07-01
Series:AIMS Mathematics
Subjects:
pólya-szegö type inequality
čebyšev inequality
riemann-liouville fractional integral
time scale
Online Access:https://www.aimspress.com/article/10.3934/math.2020390/fulltext.html
Description
Summary: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 presented inequalities.
ISSN:2473-6988

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