SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.53, sa.4, ss.1117-1127, 2023 (SCI-Expanded, Scopus)
- 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.