Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in...
| 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 |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020349/fulltext.html |
| _version_ | 1818873248119521280 |
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| author | Mehmet Kunt Artion Kashuri Tingsong Du Abdul Wakil Baidar |
| author_facet | Mehmet Kunt Artion Kashuri Tingsong Du Abdul Wakil Baidar |
| author_sort | Mehmet Kunt |
| collection | DOAJ |
| description | In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed. |
| first_indexed | 2024-12-19T12:51:41Z |
| format | Article |
| id | doaj.art-72ccb6e0830b46caad2e16515bcf23f6 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T12:51:41Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-72ccb6e0830b46caad2e16515bcf23f62022-12-21T20:20:32ZengAIMS PressAIMS Mathematics2473-69882020-07-01565439545710.3934/math.2020349Quantum Montgomery identity and quantum estimates of Ostrowski type inequalitiesMehmet Kunt0Artion Kashuri1Tingsong Du2Abdul Wakil Baidar31 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey2 Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania3 Department of Mathematics, College of Science, China Three Gorges University, 443002, Yichang, P. R. China1 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey 4 Kabul University, Department of Mathematics, Kabul, AfghanistanIn this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed.https://www.aimspress.com/article/10.3934/math.2020349/fulltext.htmlconvex functionsquantum differentiablequantum integrableostrowski type inequalitym |
| spellingShingle | Mehmet Kunt Artion Kashuri Tingsong Du Abdul Wakil Baidar Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities AIMS Mathematics convex functions quantum differentiable quantum integrable ostrowski type inequalitym |
| title | Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities |
| title_full | Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities |
| title_fullStr | Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities |
| title_full_unstemmed | Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities |
| title_short | Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities |
| title_sort | quantum montgomery identity and quantum estimates of ostrowski type inequalities |
| topic | convex functions quantum differentiable quantum integrable ostrowski type inequalitym |
| url | https://www.aimspress.com/article/10.3934/math.2020349/fulltext.html |
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