New Simpson type inequalities for convex functions via conformable fractional integrals

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

Filomat, cilt.40, sa.1, ss.9-21, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2601009b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.9-21
  • Anahtar Kelimeler: convex function, fractional calculus, fractional conformable derivatives, fractional conformable integrals, Simpson type inequalities
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.