Bosch, PaulMolina, Edil D.Rodríguez, José ManuelSigarreta, José María2021-11-302021-11-302021Bosch, P.; Molina, E.D.; Rodríguez, J.M.; Sigarreta, J.M. Inequalities on the Generalized ABC Index. Mathematics 2021, 9, 1151. https://doi.org/10.3390/math9101151https://doi.org/10.3390/math9101151http://hdl.handle.net/11447/5141In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randi´c index. Some of these inequalities for ABCα improved, when α = 1/2, known results on the ABC index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.enABC indexGeneral Randić indexGeneralized ABC indexTopological indicesConverse Hölder inequalityArticle