IMPROVEMENT OF FRACTIONAL HERMITE- HADAMARD TYPE INEQUALITY FOR CONVEX FUNCTIONS
MISKOLC MATHEMATICAL NOTES, cilt.19, sa.2, ss.1007-1017, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.18514/mmn.2018.2441
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1007-1017
- Anahtar Kelimeler: convex functions, Hermite-Hadamard inequalities, Riemann-Liouville fractional integrals, midpoint type inequalities
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejer inequality and better than given in [9] by Sarikaya et al. is obtained. Also, a new equality is proved and some new fractional midpoint type inequalities are given. Our results generalizes the results given in [5] by Kirmaci.