Inequalities on the generalized abc index Articles uri icon

publication date

  • May 2021

start page

  • 1

end page

  • 17

issue

  • 10

volume

  • 9

International Standard Serial Number (ISSN)

  • 2227-7390

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

  • abc index; generalizedabc index; general randic index; topological indices; converse hölder inequality