SOME BOUNDS OF HERMITE-HADAMARD-TYPE INEQUALITIES BASED ON CONFORMABLE FRACTIONAL INTEGRALS

BUDAK H., Bas U., Kara H., Hezenci F.

MISKOLC MATHEMATICAL NOTES, vol.26, no.1, pp.115-136, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.18514/mmn.2025.4592
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.115-136
  • Kocaeli University Affiliated: No

Abstract

In this research, we establish the above and below bounds via the left and right sides of Hermite-Hadamard-type inequalities including conformable fractional integrals with the aid of the mappings whose second derivatives are bounded. Instead of using the convexity condition [] in these obtained inequalities, we used condition f ' (a + b-t)-f ' (t) >= 0, t E a, a+b 2 . We have presented examples of the inequalities acquired. We have given the graph showing the correctness of the presented examples.