Fractional Milne-type inequalities for twice differentiable functions

Almoneef A. A., Hyder A., Budak H., Barakat M. A.

AIMS MATHEMATICS, vol.9, no.7, pp.19771-19785, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 7
  • Publication Date: 2024
  • Doi Number: 10.3934/math.2024965
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.19771-19785
  • Kocaeli University Affiliated: No

Abstract

In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.