Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality
Functional Analysis
2023-09-08 v2
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.
Keywords
Cite
@article{arxiv.2011.02960,
title = {Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality},
author = {Andrea Aglić Aljinović and Domagoj Kovačević and Mate Puljiz and Ana Žgaljić Keko},
journal= {arXiv preprint arXiv:2011.02960},
year = {2023}
}
Comments
15 pages, 5 figures