On Generalization of Fejer Type Inequalities via Fractional Integral Operators
FILOMAT, cilt.32, sa.16, ss.5537-5547, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 16
- Basım Tarihi: 2018
- Doi Numarası: 10.2298/fil1816537s
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.5537-5547
- Anahtar Kelimeler: Hermite-Hadamard-Fejer inequality, convex function, Holder inequality, fractional integral operator
- Marmara Üniversitesi Adresli: Hayır
Özet
In this paper we first prove a new lemma for differentiable mapping via a fractional integral operator. Then, using lemma, we establish some new Hermite-Hadamard-Fejer type results for convex functions via fractional integral operators. The results presented here would provide extensions of those given in earlier works.