New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals

Hezenci F., Budak H.

EXPERIMENTAL MATHEMATICS, cilt.34, sa.3, ss.446-458, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/10586458.2024.2380760
  • Dergi Adı: EXPERIMENTAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.446-458
  • Anahtar Kelimeler: co-ordinated convex function, conformable fractional integrals, fractional integral operators, Simpson inequality
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals. More precisely, some Simpson-type inequalities are obtained using the well-known H & ouml;lder and Power mean inequalities. Furthermore, we also consider some special cases which can be deduced from the main results.