New midpoint type inequalities for generalized fractional integral

Budak, Huseyin; Kara, Hasan; Kapucu, Rabia

doi:10.22034/cmde.2020.40684.1772

فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری

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	New midpoint type inequalities for generalized fractional integral
Computational Methods for Differential Equations
مقاله 7، دوره 10، شماره 1، فروردین 2022، صفحه 93-108 اصل مقاله (154.43 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.40684.1772
نویسندگان
Huseyin Budak ؛ Hasan Kara؛ Rabia Kapucu
Department of Mathematics,Faculty of Science and Arts, D¨uzce University, D¨uzce,Turkey.
چکیده
In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.
کلیدواژه‌ها
Hermite-Hadamard inequality؛ Generalized fractional integral؛ Convex function

مراجع
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New midpoint type inequalities for generalized fractional integral