ON GENERALIZATIONS RELATED TO THE LEFT SIDE OF FEJER'S INEQUALITY VIA FRACTIONAL INTEGRAL OPERATOR
MISKOLC MATHEMATICAL NOTES, cilt.18, sa.2, ss.1043-1057, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.18514/mmn.2017.2275
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1043-1057
- Anahtar Kelimeler: Hermite-Hadamard-Fejer inequality, convex function, Holder inequality, fractional integral operator
- Marmara Üniversitesi Adresli: Hayır
Özet
In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejér’s inequality for differentiable mappings whose derivatives inabsolutevalueareconvexviafractionalintegraloperator,usingthisidentitywithfundamental inequalities such as Hölder’s integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in [11].