A Class of Fractal Hilbert-Type Inequalities Obtained Via Cantor-Type Spherical Coordinates
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
BRONZE
Green Open Access
Yes
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OpenAIRE Views
Publicly Funded
No
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Impulse
Average
Influence
Average
Popularity
Top 10%
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.
Description
Keywords
Cantor‐, Type Spherical Coordinates, Fractal Set, Local Fractional Integral, The Best Possible Constant, The Hilbert Inequality, local fractional integral, the Hilbert inequality, fractal set, local fractional integral, Cantor-type spherical coordinates, the best possible constant, the Hilbert inequality, the best possible constant, fractal set, Cantor-type spherical coordinates, best possible constant, Inequalities for sums, series and integrals, Inequalities involving derivatives and differential and integral operators, Hilbert inequality
Fields of Science
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
11
Source
Mathematical Methods in the Applied Sciences
Volume
44
Issue
7
Start Page
6195
End Page
6208
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Citations
CrossRef : 2
Scopus : 11
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Mendeley Readers : 1
SCOPUS™ Citations
11
checked on Feb 27, 2026
Web of Science™ Citations
11
checked on Feb 27, 2026
Page Views
2
checked on Feb 27, 2026
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