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

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

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, no.7-8, pp.269-290, 2023 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.52280/pujm.2023.55(7-8)02
• Journal Name: PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.269-290
• Bursa Uludag University Affiliated: Yes

Abstract

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.