A study of Hermite-Hadamard inequalities via Caputo-Fabrizio fractional integral operators using strongly (s,m)-convex functions in the second sense
Journal of Inequalities and Applications, cilt.2025, sa.1, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2025 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1186/s13660-025-03266-x
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: Convex function, s-convex function, m-convex function, Strongly convex function, Hermite-Hadamard inequality, Caputo-Fabrizio fractional integrals
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Evet
Özet
New ways for comparing and bounding strongly (s,m)-convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored. These operators generalize some classic inequalities of Hermite-Hadamard for functions with strongly (s,m)-convex derivatives. The findings are also applied to special functions and means involving the digamma function. Additionally, we relate our findings to applications in biomedicine, engineering, robotics, the automotive industry, and electronics.