Newton-Type Inequalities in the Context of Generalized Fractional Integrals via Several Function Classes
JOURNAL OF MATHEMATICS, cilt.2026, sa.1, 2026 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2026 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1155/jom/4909600
- Dergi Adı: JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this paper, we investigate some new Newton-type inequalities involving generalized fractional integrals by using different function classes. For this aim, we first prove an identity for differentiable functions. Then, by this equality, we prove several Newton-type inequalities for the function classes such as convex functions, bounded functions, Lipschitzian functions, and functions of bounded variations. We also show that the main results generalize some existing results for classical integrals and Riemann-Liouville fractional integrals.