Zhao, DafangAli, Muhammad AamirBudak, HueseyinHe, Zai-yin2024-08-232024-08-2320230218-348X1793-6543https://doi.org/10.1142/S0218348X23400601https://hdl.handle.net/20.500.12684/14114In this paper, we establish some new Bullen-type inequalities for differentiable convex functions using the generalized fractional integrals. The main advantage of the inequalities and operators used to obtain them is that these inequalities can be turned into some existing inequalities for Riemann integrals and new inequalities for Riemann-Liouville fractional integral inequalities and k-fractional integrals. Finally, we add some applications of special means of real numbers using the newly established inequalities to make these results more interesting.en10.1142/S0218348X23400601info:eu-repo/semantics/openAccessMidpoint InequalitiesTrapezoid InequalitiesFractional CalculusConvex FunctionsHermite-HadamardDifferentiable MappingsReal NumbersArticle3142-s2.0-85158012533WOS:000978807400006Q1Q1