New Simpson type inequalities for convex functions via conformable fractional integrals

BUDAK H., Kara H., Luangboon W., Nonlaopon K.

Filomat, vol.40, no.1, pp.9-21, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.2298/fil2601009b
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.9-21
  • Keywords: convex function, fractional calculus, fractional conformable derivatives, fractional conformable integrals, Simpson type inequalities
  • Kocaeli University Affiliated: Yes

Abstract

This study proves equality for differentiable functions involving the conformable fractional integrals. Using the established identity, we offer new Simpson type inequalities for convex functions via conformable fractional integrals. We also consider some special cases which can be deduced from the main results.