New Simpson type inequalities for twice differentiable functions via generalized fractional integrals

• DOI: 10.3934/math.2022218
• Publication Date: 2021-12-11T08:11:14Z
• Authors: Xuexiao You; ; Fatih Hezenci; Hüseyin Budak; Hasan Kara
• Keywords: Hadamard-Type Inequalities; Convex-Functions; convex functions; simpson type inequalities; generalized fractional integrals; QA1-939; Simpson Type Inequalities; Generalized Fractional Integrals; Convex Functions; Mathematics

<abstract><p>Fractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, type twice also investigated slightly. Hence, we establish a new identity functions. Furthermore, by utilizing generalized fractional integrals, prove several whose second derivatives in absolute value convex.</p></abstract>