Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality
| Autor: | Aljinović, Andrea Aglić, Kovačević, Domagoj, Puljiz, Mate, Keko, Ana Žgaljić |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Applied Mathematics and Computation 410 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.amc.2021.126454 |
| Popis: | We derive a version of Lagrange's mean value theorem for quantum calculus. We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality. Comment: 15 pages, 5 figures |
| Databáze: | arXiv |
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