Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for <i>s</i>-convex functions in the second sense with applications


Asawasamrit S., Ali M. A., Budak H., Ntouyas S. K., Tariboon J.

AIMS MATHEMATICS, no.12, pp.13327-13346, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.3934/math.2021771
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.13327-13346
  • Kocaeli University Affiliated: No

Abstract

In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the existing literature. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.