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Browsing by Author "Krnic, Mario"

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    Citation - WoS: 9
    Citation - Scopus: 9
    A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
    (Wiley, 2021) Baleanu, Dumitru; Baleanu, Dumitru; Krnic, Mario; Vukovic, Predrag; 56389; Matematik
    We present a class of higher dimensional Hilbert-type inequalities on a fractal set (Double-struck capital R+alpha n)k. The crucial step in establishing our results are higher dimensional spherical coordinates on a fractal space. Further, we impose the corresponding conditions under which the constants appearing in the established Hilbert-type inequalities are the best possible. As an application, our results are compared with the previous results known from the literature.
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    Citation - WoS: 3
    Citation - Scopus: 4
    SOME FURTHER PROPERTIES OF DISCRETE MUCKENHOUPT AND GEHRING WEIGHTS
    (Element, 2022) Saker, Samir H.; Krnic, Mario; Bale-Anti, Dumitru; 56389
    The main objective of this paper is a further study of discrete Muckenhoupt and Gehring weights. We first restate monotonicity properties of Muckenhoupt and Gehring classes in terms of the corresponding norms. In addition, we establish some norm bounds for Muck-enhoupt and Gehring weights. Next, we give a simple characterization of the weight belonging to both Muckenhoupt and Gehring class. Finally, we show that the transition functions, aris-ing from inclusion problems between Muckenhoupt and Gehring classes, are decreasing. As an application, some particular examples of Muckenhoupt and Gehring power weights are also considered.