AIMS Mathematics (Jul 2020)

Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

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

DOI
https://doi.org/10.3934/math.2020349
Journal volume & issue
Vol. 5, no. 6
pp. 5439 – 5457

Abstract

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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.

Keywords