OPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS

Sitthiwirattham T., Ali M. A., BUDAK H., Promsakon C.

Rocky Mountain Journal of Mathematics, cilt.55, sa.1, ss.255-263, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1216/rmj.2025.55.255
  • Dergi Adı: Rocky Mountain Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.255-263
  • Anahtar Kelimeler: convex function, open Newton–Cotes formula
  • Kocaeli Üniversitesi Adresli: Evet

Özet

We establish error bounds for the open Newton–Cotes formula with n = 1 for differentiable convex functions in fractional calculus. We use for this purpose an integral identity, which we prove, having Riemann–Liouville fractional integral and ordinary derivative. We give applications for special means, and add an example to show the validity of inequalities with a graph for different values of fractional parameter α.