NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR TWICE DIFFERENTIABLE FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS
Turkish Journal of Inequalities, cilt.6, sa.2, ss.27-39, 2022 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 2
- Basım Tarihi: 2022
- Dergi Adı: Turkish Journal of Inequalities
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.27-39
- Anahtar Kelimeler: Convex function, Fractional integral operators, Hermite-Hadamard inequality, Midpoint inequality
- Kocaeli Üniversitesi Adresli: Hayır
Özet
In this paper we first obtain a new generalized identities for twice differentiable mappings involving newly defined generalized fractional integrals. Then by using this equality, we establish some Hermite-Hadamard type inequalities for functions whose second derivatives in absolute value are convex.