Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

KUNT M., Kashuri A., Du T., Baidar A. W.

AIMS MATHEMATICS, vol.5, no.6, pp.5439-5457, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2020349
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5439-5457
  • Keywords: convex functions, quantum differentiable, quantum integrable, Ostrowski type inequality, MIDPOINT TYPE INEQUALITIES, HERMITE-HADAMARD INEQUALITIES, INTEGRAL-INEQUALITIES, CONVEX FUNCTIONS, GRUSS TYPE
  • Karadeniz Technical University Affiliated: Yes

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.