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Author: search.filters.author.José M. RodríguezLanguage: search.filters.language.English

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    Inequalities on the Generalized ABC Index
    (2021)
    BOSCH PÉREZ, PAUL JESÚS  
    ;
    Edil D. Molina
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    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.
      1Scopus© Citations 6
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    On new Milne-type inequalities and applications
    (2023)
    BOSCH PÉREZ, PAUL JESÚS  
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type integral operators, which include most of the known Riemann–Liouville integral operators.
      18  1Scopus© Citations 23