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math.FA2020★ 9 cited
Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality
Andrea Aglić Aljinović, Domagoj Kovačević, Mate Puljiz +1
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…
math.FA2020★ 3 cited
Erratum: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
Andrea Aglić Aljinović, Domagoj Kovačević, Mate Puljiz
We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.