Inequalities on the Generalized ABC Index

Paul Bosch, Edil D. Molina, José M. Rodríguez and José M. Sigarreta
Additional contact information
Paul Bosch: Facultad de Ingeniería, Universidad del Desarrollo, Ave. La Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago 7610658, Chile
Edil D. Molina: Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, 39650 Acalpulco Gro., Mexico
José M. Rodríguez: Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
José M. Sigarreta: Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, 39650 Acalpulco Gro., Mexico

Mathematics, 2021, vol. 9, issue 10, 1-17

Abstract: In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randi? index. Some of these inequalities for A B C ? improved, when ? = 1 / 2 , known results on the A B C index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.

Keywords: ABC index; generalizedABC index; general Randi? index; topological indices; converse Hölder inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/10/1151/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/10/1151/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:10:p:1151-:d:558285

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().