New version of Hermite-Hadamard inequality for co-ordinated convex function via generalized conformable integrals

Kiris M. E., Bayrak G.

FILOMAT, vol.38, no.16, pp.5575-5589, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 16
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2416575k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5575-5589
  • Hatay Mustafa Kemal University Affiliated: No

Abstract

In this study, a new version of the Hermite-Hadamard inequality for coordinated convex functions is established with the help of generalized conformable fractional integrals. With this approach, a new lower and upper limit was determined and contributed to the generalization of inequality. Additionally, the research contains remarkable findings based on Riemann Liouville and Riemann integral concepts.