Inequalities on the Generalized <i>ABC</i> Index

Abstract

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić 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.

Keywords

• <i>ABC</i> index
• <i>generalizedABC</i> index
• general Randić index
• topological indices
• converse Hölder inequality