Generalization of Quantum Ostrowski-Type Integral Inequalities
In this paper, we prove some new Ostrowski-type integral inequalities for <i>q</i>-differentiable bounded functions. It is also shown that the results presented in this paper are a generalization of know results in the literarure. Applications to special means are also discussed.
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MDPI AG
2021-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/10/1155 |
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doaj-a2b8199d33fd4b61bb6bf24518b870912021-06-01T00:35:17ZengMDPI AGMathematics2227-73902021-05-0191155115510.3390/math9101155Generalization of Quantum Ostrowski-Type Integral InequalitiesMuhammad Aamir Ali0Sotiris K. Ntouyas1Jessada Tariboon2Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaDepartment of Mathematics, University of Ioannina, 45110 Ioannina, GreeceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn this paper, we prove some new Ostrowski-type integral inequalities for <i>q</i>-differentiable bounded functions. It is also shown that the results presented in this paper are a generalization of know results in the literarure. Applications to special means are also discussed.https://www.mdpi.com/2227-7390/9/10/1155Ostrowski inequalityq-integralquantum calculus |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Muhammad Aamir Ali Sotiris K. Ntouyas Jessada Tariboon |
| spellingShingle |
Muhammad Aamir Ali Sotiris K. Ntouyas Jessada Tariboon Generalization of Quantum Ostrowski-Type Integral Inequalities Mathematics Ostrowski inequality q-integral quantum calculus |
| author_facet |
Muhammad Aamir Ali Sotiris K. Ntouyas Jessada Tariboon |
| author_sort |
Muhammad Aamir Ali |
| title |
Generalization of Quantum Ostrowski-Type Integral Inequalities |
| title_short |
Generalization of Quantum Ostrowski-Type Integral Inequalities |
| title_full |
Generalization of Quantum Ostrowski-Type Integral Inequalities |
| title_fullStr |
Generalization of Quantum Ostrowski-Type Integral Inequalities |
| title_full_unstemmed |
Generalization of Quantum Ostrowski-Type Integral Inequalities |
| title_sort |
generalization of quantum ostrowski-type integral inequalities |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2021-05-01 |
| description |
In this paper, we prove some new Ostrowski-type integral inequalities for <i>q</i>-differentiable bounded functions. It is also shown that the results presented in this paper are a generalization of know results in the literarure. Applications to special means are also discussed. |
| topic |
Ostrowski inequality q-integral quantum calculus |
| url |
https://www.mdpi.com/2227-7390/9/10/1155 |
| work_keys_str_mv |
AT muhammadaamirali generalizationofquantumostrowskitypeintegralinequalities AT sotiriskntouyas generalizationofquantumostrowskitypeintegralinequalities AT jessadatariboon generalizationofquantumostrowskitypeintegralinequalities |
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1721414527386386432 |