Hermite-Hadamard-Mercer and related inequalities for h-convex functions via ψ-Hilfer operators
Filomat, cilt.40, sa.6, ss.1991-2010, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.2298/fil2606991a
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1991-2010
- Anahtar Kelimeler: Fractional integrals, h-Convex functions, Hermite-Hadamard inequalities, Hermite-Hadamard-Mercer inequalities, Jensen-Mercer inequality
- Kocaeli Üniversitesi Adresli: Evet
Özet
We prove a fractional Hermite-Hadamard-Mercer inequality via ψ-Hilfer integral operators for the class of h−convex functions, where h is a B-function. Some novel fractional inequalities related to the left and right sides of the Hermite-Hadamard-Mercer inequalities are established for differentiable mappings whose absolute values of the derivatives are h−convex. Moreover, we construct new inequalities for these differentiable functions using Hölder’s inequality.