Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral

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Atıf İçin Kopyala

Butt S. I., BAYRAKTAR B., Valdes J. E. N.

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.