@article{You2022, 
author = {Xuexiao You and Fatih Hezenci and Hüseyin Budak and Hasan Kara},
title = {New Simpson type inequalities for twice differentiable functions via generalized fractional integrals},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3959-3971},
keywords = {Simpson type inequalities, generalized fractional integrals, convex functions},
url = {https://www.sciopen.com/article/10.3934/math.2022218},
doi = {10.3934/math.2022218},
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.}
}