New Simpson type inequalities for twice differentiable functions via generalized fractional integrals
Authors:
- Xuexiao YouXYXuexiao You
- Fatih HezenciFHFatih Hezenci
- Hüseyin BudakHüseyin Budak
Open Access
- 1 January 2022
- journal article
- research article
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 7 (3) , 3959-3971
Abstract
Fractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, Simpson type inequalities for twice differentiable functions are also investigated slightly. Hence, we establish a new identity for twice differentiable functions. Furthermore, by utilizing generalized fractional integrals, we prove several Simpson type inequalities for functions whose second derivatives in absolute value are convex.Keywords
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