@article{article_1557116, title={Generalized Bullen Type Inequalities and Their Applications}, journal={Fundamental Journal of Mathematics and Applications}, volume={8}, pages={65–71}, year={2025}, DOI={10.33401/fujma.1557116}, author={Sarikaya, Mehmet Zeki}, keywords={Convex function, Bullen inequality, Midpoint inequality, Trapezoid inequality, Hermite-Hadamard inequality}, abstract={This paper presents a novel extension of Bullen-type inequalities for convex functions by leveraging recently established generalized identities. Through rigorous proofs, we derive new inequalities that exhibit strong connections to both the left- and right-hand sides of the Hermite-Hadamard inequalities for Riemann-integrable functions. Additionally, we apply these results to various special means of two positive numbers.}, number={2}, publisher={Fuat USTA}