A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
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Date
2021
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Publisher
Wiley
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Abstract
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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Keywords
Cantor‐, Type Spherical Coordinates, Fractal Set, Local Fractional Integral, The Best Possible Constant, The Hilbert Inequality
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Citation
Baleanu, Dumitru; Krnic, Mario; Vukovic, Predrag (2021). "A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 6195-6208.
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Q1
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Q1
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Volume
44
Issue
7
Start Page
6195
End Page
6208