On Ostrowski inequality for quantum calculus

Andrea Aglić Aljinović, Domagoj Kovačević, Mate Puljiz and Ana Žgaljić Keko

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: 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: Q-derivative; Q-integral; Midpoint inequality; Ostrowski inequality; Hahn difference operator (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005439

DOI: 10.1016/j.amc.2021.126454

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