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2 results on '"Jackson integral"'

1. Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

Author

Andrea Aglić Aljinović, Domagoj Kovačević, Mehmet Kunt, and Mate Puljiz

Subjects
q-derivative, q-integral, jackson integral, montgomery identity, ostrowski inequality, Mathematics, QA1-939
Abstract

We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.

Published
2021
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2. Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

Author

Abdul Wakil Baidar, Tingsong Du, Mehmet Kunt, and Artion Kashuri

Subjects
Pure mathematics, convex functions, quantum differentiable, Inequality, General Mathematics, media_common.quotation_subject, lcsh:Mathematics, q-derivative, Jackson integral, ostrowski type inequalitym, Type (model theory), quantum integrable, lcsh:QA1-939, Identity (mathematics), Connection (algebraic framework), Convex function, Quantum, media_common, Mathematics
Abstract

In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed.

Published
2020
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