Academic Journal
Some new bounds of Chebyshev and Grüss-type functionals on time scales
| العنوان: | Some new bounds of Chebyshev and Grüss-type functionals on time scales |
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| المؤلفون: | Ammara Nosheen, Khuram Ali Khan, Muhammad Kashif, Rostin Matendo Mabela |
| المصدر: | Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024) |
| بيانات النشر: | Taylor & Francis Group, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Mathematics LCC:Engineering (General). Civil engineering (General) |
| مصطلحات موضوعية: | Time scales calculus, Montgomery identities, Taylor polynomial, 39B62, 39B05, 26D15, Mathematics, QA1-939, Engineering (General). Civil engineering (General), TA1-2040 |
| الوصف: | In this work, Korkine and Sonin's identities are defined on arbitrary time scales. These identities are utilized to establish the Chebyshev and Grüss-type inequalities on time scales. By applying these inequalities, we determine the bounds of the remainders in Montgomery identities that incorporate Taylor's formula on time scales. Moreover, we derive discrete and quantum inequalities based on these results. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 27690911 2769-0911 |
| Relation: | https://doaj.org/toc/2769-0911 |
| DOI: | 10.1080/27690911.2024.2305662 |
| URL الوصول: | https://doaj.org/article/21ccfbe39ac04f678bbd4c33ce227f86 |
| رقم الانضمام: | edsdoj.21ccfbe39ac04f678bbd4c33ce227f86 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 27690911 |
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| DOI: | 10.1080/27690911.2024.2305662 |