On Ostrowski inequality for quantum calculus

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摘要

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.

论文关键词：Q-derivative,Q-integral,Midpoint inequality,Ostrowski inequality,Hahn difference operator

论文评审过程：Received 12 November 2020, Revised 22 April 2021, Accepted 9 June 2021, Available online 27 June 2021, Version of Record 27 June 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126454