We study the refinements of several well-known local fractional Hilbert-type inequalities obtained by interpolating the Lebesgue norms of local fractional Laplace transforms of the functions involved in these inequalities. As an application, the main results are compared with some our results previously known from the literature.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 11, pp. 1454–1462, November, 2022. Ukrainian https://doi.org/10.37863/umzh.v74i11.6429.
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Vuković, P. Refinements of Local Fractional Hilbert-Type Inequalities. Ukr Math J 74, 1658–1667 (2023). https://doi.org/10.1007/s11253-023-02162-1
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DOI: https://doi.org/10.1007/s11253-023-02162-1