Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, sa.7-8, ss.269-290, 2023 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2023
- Doi Numarası: 10.52280/pujm.2023.55(7-8)02
- Dergi Adı: PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.269-290
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this study, we present the midpoint and trapezoid inequalities for an F-convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping Phi whose second derivatives in the absolute values are F-convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.