Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals
Mathematical Sciences and Applications E-Notes, cilt.14, sa.2, ss.67-91, 2026 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.36753/mathenot.1891384
- Dergi Adı: Mathematical Sciences and Applications E-Notes
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.67-91
- Anahtar Kelimeler: Co-ordinated convex function, Fractional integral, Hermite-Hadamard type inequalities
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this investigation, Hermite-Hadamard-type inequalities are acquired for co-ordinated convex functions using generalized fractional integrals. These integrals include several well-known fractional operators, such as the Riemann-Liouville, Hadamard, and Katugampola fractional integrals. The findings of this study extend and generalize various inequalities from the existing literature. Moreover, by choosing specific parameter values, the established inequalities reduce to known results as special cases. In addition to these generalizations, new inequalities are established. To demonstrate the applicability of the results, examples are given, and graphical representations are utilized to support their validity.