Generalized Ostrowski-Gruss Like Inequality on Time Scales
In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus. By obtaining this generalization of Montgomery Identity we establish results about the generalization of Ostrowski-Gr...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_706709_f1de86517a5ad6ece0d4847e73234e37.pdf |
| _version_ | 1827800026165805056 |
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| author | Faraz Mehmood Asif Khan Muhammad Shaikh |
| author_facet | Faraz Mehmood Asif Khan Muhammad Shaikh |
| author_sort | Faraz Mehmood |
| collection | DOAJ |
| description | In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus. By obtaining this generalization of Montgomery Identity we establish results about the generalization of Ostrowski-Gr\"{u}ss like inequality to the several time scales, namely discrete case, continuous case and the case of quantum calculus. Additionally, we recapture several published results from different authors in various papers, thus unifying the corresponding discrete and continuous versions. Furthermore, we demonstrate the applicability of our derived consequence to the case of quantum calculus. |
| first_indexed | 2024-03-11T20:00:38Z |
| format | Article |
| id | doaj.art-9de0a1bc3d804c65b2ed53e43e61b841 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-11T20:00:38Z |
| publishDate | 2023-09-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-9de0a1bc3d804c65b2ed53e43e61b8412023-10-04T08:29:38ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-09-0120419120310.22130/scma.2023.563178.1184706709Generalized Ostrowski-Gruss Like Inequality on Time ScalesFaraz Mehmood0Asif Khan1Muhammad Shaikh2Dawood UniDepartment of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan and Department of Mathematics, Dawood University of Engineering.Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.Nabi Bagh Z. M. Govt. Science College, Saddar, Karachi-75270, Pakistan.In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus. By obtaining this generalization of Montgomery Identity we establish results about the generalization of Ostrowski-Gr\"{u}ss like inequality to the several time scales, namely discrete case, continuous case and the case of quantum calculus. Additionally, we recapture several published results from different authors in various papers, thus unifying the corresponding discrete and continuous versions. Furthermore, we demonstrate the applicability of our derived consequence to the case of quantum calculus.https://scma.maragheh.ac.ir/article_706709_f1de86517a5ad6ece0d4847e73234e37.pdfostrowski inequalitygruss inequalityostrowski-gruss inequalitytime scalesquantum calculus |
| spellingShingle | Faraz Mehmood Asif Khan Muhammad Shaikh Generalized Ostrowski-Gruss Like Inequality on Time Scales Sahand Communications in Mathematical Analysis ostrowski inequality gruss inequality ostrowski-gruss inequality time scales quantum calculus |
| title | Generalized Ostrowski-Gruss Like Inequality on Time Scales |
| title_full | Generalized Ostrowski-Gruss Like Inequality on Time Scales |
| title_fullStr | Generalized Ostrowski-Gruss Like Inequality on Time Scales |
| title_full_unstemmed | Generalized Ostrowski-Gruss Like Inequality on Time Scales |
| title_short | Generalized Ostrowski-Gruss Like Inequality on Time Scales |
| title_sort | generalized ostrowski gruss like inequality on time scales |
| topic | ostrowski inequality gruss inequality ostrowski-gruss inequality time scales quantum calculus |
| url | https://scma.maragheh.ac.ir/article_706709_f1de86517a5ad6ece0d4847e73234e37.pdf |
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