On Ostrowski inequality for quantum calculus

On Ostrowski inequality 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.

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Veröffentlicht in:Applied mathematics and computation 2021-12, Vol.410, p.126454, Article 126454
Hauptverfasser: Aglić Aljinović, Andrea, Kovačević, Domagoj, Puljiz, Mate, Žgaljić Keko, Ana
Format: Artikel
Sprache:eng
Schlagworte:
Hahn difference operator
Midpoint inequality
Ostrowski inequality
Q-derivative
Q-integral
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Beschreibung
Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2021.126454