Inequalities of Simpson-type for twice-differentiable convex functions via conformable fractional integrals

نویسندگان
Hezenci, Fatih ID 1
Budak, Huseyin ID 2
Kara, Hasan ID 3

1 Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye

2 Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye

3 Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye

doi
10.22075/ijnaa.2023.28568.3928
چکیده

This paper proves an equality for the case of twice-differentiable convex functions involving conformable fractional integrals. Using the established equality, we give new Simpson-type inequalities for the case of twice-differentiable convex functions via conformable fractional integrals. We also consider some special cases which can be deduced from the main results.

کلیدواژه‌ها
Simpson type inequality, fractional conformable integrals, Fractional calculus, convex function