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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020390/fulltext.html |
| _version_ | 1819228710781321216 |
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| author | Jian-Mei Shen Saima Rashid Muhammad Aslam Noor Rehana Ashraf Yu-Ming Chu |
| author_facet | Jian-Mei Shen Saima Rashid Muhammad Aslam Noor Rehana Ashraf Yu-Ming Chu |
| author_sort | Jian-Mei Shen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T11:01:37Z |
| format | Article |
| id | doaj.art-43a459fcf5df48d2ab250da6d2661003 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-23T11:01:37Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-43a459fcf5df48d2ab250da6d26610032022-12-21T17:49:37ZengAIMS PressAIMS Mathematics2473-69882020-07-01566073608610.3934/math.2020390Certain novel estimates within fractional calculus theory on time scalesJian-Mei Shen0Saima Rashid1Muhammad Aslam Noor2Rehana Ashraf3Yu-Ming Chu41 School of Finance and Statistics, Hunan University, Changsha 410079, P. R. China2 Department of Mathematics, Government College University, Faisalabad 38000, Pakistan3 Department of Mathematics, COMSATS University Islamabad 44000, Pakistan4 Department of Mathematics, Lahore College Women University, Lahore 54660, Parkstan5 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China 6 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. ChinaThe 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.https://www.aimspress.com/article/10.3934/math.2020390/fulltext.htmlpólya-szegö type inequalityčebyšev inequalityriemann-liouville fractional integraltime scale |
| spellingShingle | Jian-Mei Shen Saima Rashid Muhammad Aslam Noor Rehana Ashraf Yu-Ming Chu Certain novel estimates within fractional calculus theory on time scales AIMS Mathematics pólya-szegö type inequality čebyšev inequality riemann-liouville fractional integral time scale |
| title | Certain novel estimates within fractional calculus theory on time scales |
| title_full | Certain novel estimates within fractional calculus theory on time scales |
| title_fullStr | Certain novel estimates within fractional calculus theory on time scales |
| title_full_unstemmed | Certain novel estimates within fractional calculus theory on time scales |
| title_short | Certain novel estimates within fractional calculus theory on time scales |
| title_sort | certain novel estimates within fractional calculus theory on time scales |
| topic | pólya-szegö type inequality čebyšev inequality riemann-liouville fractional integral time scale |
| url | https://www.aimspress.com/article/10.3934/math.2020390/fulltext.html |
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