Inequalities on the Generalized ABC Index

Mathematics

JoséM. Rodríguez¹  Paul Bosch²  JoséM. Sigarreta³  EdilD. Molina³ 

[1] Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain;Facultad de Ingeniería, Universidad del Desarrollo, Ave. La Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago 7610658, Chile;Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, 39650 Acalpulco Gro., Mexico;

关键词: ABC index;    generalizedABC index;    general Randić index;    topological indices;    converse Hölder inequality;   

DOI  :  10.3390/math9101151

来源: DOAJ

【 摘 要 】

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for $AB{C}_{\alpha }$ improved, when $\alpha =1/2$, 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.

【 授权许可】

Unknown