@article { author = {Budak, Huseyin and Kara, Hasan and Hezenci, Fatih}, title = {Fractional Simpson-Type Inequalities for Twice Differentiable Functions}, journal = {Sahand Communications in Mathematical Analysis}, volume = {20}, number = {3}, pages = {97-108}, year = {2023}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2023.557735.1150}, abstract = {In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions. In this research article, we obtain an identity for twice differentiable convex functions. Then, we prove several fractional inequalities of Simpson-type for convex functions.}, keywords = {Simpson type inequalities,Twice differentiable convex functions,Riemann-Liouville fractional integrals,Fractional calculus}, url = {https://scma.maragheh.ac.ir/article_704362.html}, eprint = {https://scma.maragheh.ac.ir/article_704362_1da46626ead7b66fd7ef230979a85ce0.pdf} }