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Inequalities on the Generalized ABC Index

Journal
Mathematics
ISSN
2227-7390
Date Issued
2021
Author(s)
BOSCH PÉREZ, PAUL JESÚS  
Facultad de Ingeniería  
Edil D. Molina
José M. Rodríguez
José M. Sigarreta
Type
Resource Types::text::journal::journal article
Scopus ID
2-s2.0-85107178324
WoS ID
WOS:000655198200001
DOI
10.3390/math9101151
URL
https://investigadores.udd.cl/handle/123456789/6481
URL Institutional Repository
http://hdl.handle.net/11447/5141
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.
Subjects
abc index

; 

generalized abc index

; 

general randic index

; 

topological indices

; 

converse holder inequality
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