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Item Inequalities on the Generalized ABC Index(2021) Bosch, Paul; Molina, Edil D.; Rodríguez, José Manuel; Sigarreta, José MaríaIn 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.