@article{article_1660607, title={Euler-Maclaurin-type Inequalities for $h-$convex Functions via Riemann-Liouville Fractional Integrals}, journal={Communications in Advanced Mathematical Sciences}, volume={8}, pages={57–69}, year={2025}, DOI={10.33434/cams.1660607}, author={Hezenci, Fatih and Budak, Hüseyin}, keywords={Convex functions, Fractional calculus, Maclaurin, Quadrature formula}, abstract={In this paper, some Euler-Maclaurin-type inequalities are established by using $h-$convex functions involving Riemann-Liouville fractional integrals. In precisely, using the properties of $h$-convex functions, we prove new Euler-Maclaurin-type inequalities. In addition, we present some Euler-Maclaurin-type inequalities for Riemann-Liouville fractional integrals by using Hölder inequality. Moreover, some Euler-Maclaurin-type inequalities are established by using power-mean inequality. Finally, by using the special choices of the obtained results, we obtain some Euler-Maclaurin-type inequalities.}, number={2}, publisher={Emrah Evren KARA}