Bullen-Mercer type inequalities for the h-convex function with twice differentiable functions

Benaissa, BouharketAzzouz, NoureddineBudak, Huseyin2025-10-112025-10-1120240354-5180https://doi.org/10.2298/FIL2430747Bhttps://hdl.handle.net/20.500.12684/21638Bullen-type inequalities for h-convex functions using conformable fractional operators are established in this study on the cone of twice-differentiable functions. This is a novel fractional version of the existing Bullen-type inequalities with simple procedures using the B-function. Furthermore, new results on Bullen-type inequalities are presented for several specific cases of convexity, generalizing existing inequalities known in the literature.en10.2298/FIL2430747Binfo:eu-repo/semantics/openAccessh-convex functionB-functiontwice-differentiable functionsBullen-Mercer inequalityBullen-Mercer type inequalities for the h-convex function with twice differentiable functionsArticle383010747107632-s2.0-85215575282WOS:001472760200022Q3Q2