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 | ||
| مراجع | ||
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