On Ostrowski-Mercer inequalities for differentiable harmonically convex functions with applications

Ali M. A., Asjad M. I., Budak H., Faridi W. A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.46, no.8, pp.8546-8559, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.1002/mma.8998
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.8546-8559
  • Kocaeli University Affiliated: No

Abstract

In this work, we prove Ostrowski-Mercer inequalities for differentiable harmonically convex functions. It is also shown that the newly proved inequalities can be converted into some existing inequalities. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.