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

	Inequalities of Simpson-type for twice-differentiable convex functions via conformable fractional integrals
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 15، شماره 3، خرداد 2024، صفحه 1-10 اصل مقاله (373.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28568.3928
نویسندگان
Fatih Hezenci^* ؛ Hasan Kara؛ Huseyin Budak
Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye
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
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