SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Hezenci F., Budak H.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.53, sa.4, ss.1117-1127, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1216/rmj.2023.53.1117
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1117-1127
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

We derive an identity for twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions, which we investigate by using Riemann-Liouville fractional integrals. Furthermore, we present our results by using special cases of the obtained theorems.