Inequalities on the Generalized ABC Index

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 20 May 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,151 (eissn: 2227-7390,

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Authors: Paul Bosch; Edil D. Molina; José M. Rodríguez; José M. Sigarreta;

doi: 10.3390/math9101151

handle: 10016/34235

Inequalities on the Generalized ABC Index

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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.

Related Organizations

Autonomous University of Guerrero
Mexico
Universidad del Desarrollo
Chile
Carlos III University of Madrid
Spain

Keywords

Generalizedabc index, <i>generalizedABC</i> index, Matemáticas, Topological indices, Abc index, General randic index, converse Hölder inequality, Converse hölder inequality, <i>ABC</i> index, general Randić index, QA1-939, topological indices, Mathematics

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