Fractional midpoint inequalities for co-ordinated (s1, s2)-convex functions: A new perspective

BUDAK H., Özmen N.

Filomat, cilt.40, sa.2, ss.415-439, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2602415b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.415-439
  • Anahtar Kelimeler: Co-ordinated (s1, Generalized fractional integral, Midpoint inequality, s2)-convex functions
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, some Hermite–Hadamard type inequalities are investigated for differentiable co-ordinated (s1, s2)-convex functions in the second sense. In particular, generalizations of midpoint-type inequalities are established on rectangular domains in the plane. Additionally, several new inequalities are derived for the cases of Riemann–Liouville and k−Riemann–Liouville fractional integrals by considering special cases of the main results.