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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 | ||
تاریخ دریافت: 07 مهر 1401، تاریخ پذیرش: 27 مهر 1402 | ||
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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