Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality
arXiv:2011.02960 · doi:10.1016/j.amc.2021.126454
Abstract
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.
15 pages, 5 figures