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Inequalities on the generalized abc index

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2021-05-02
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MDPI
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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.
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Abc index, Generalizedabc index, General randic index, Topological indices, Converse hölder inequality
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Bosch, P., Molina, E. D., Rodríguez, J. M., & Sigarreta, J. M. (2021). Inequalities on the Generalized ABC Index. Mathematics, 9(10), 1151. https://doi.org/10.3390/math9101151