Dynamic Hilbert-Type Inequalities With Fenchel-Legendre Transform
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Abstract
Our work is based on the multiple inequalities illustrated in 2020 by Hamiaz and Abuelela. With the help of a Fenchel-Legendre transform, which is used in various problems involving symmetry, we generalize a number of those inequalities to a general time scale. Besides that, in order to get new results as special cases, we will extend our results to continuous and discrete calculus.
Description
Eldeeb, Ahmed/0000-0003-2822-4092
ORCID
Keywords
Hilbert'S Inequality, Fubini Theorem, Fenchel-Legendre Transform, Time Scale, Hilbert’s inequality; Fubini theorem; Fenchel-Legendre transform; time scale
Fields of Science
0101 mathematics, 01 natural sciences
Citation
El-Deeb, Ahmed A.; Makharesh, Samer D.; Baleanu, Dumitru (2020). "Dynamic Hilbert-Type Inequalities with Fenchel-Legendre Transform", Symmetry-Basel, Vol. 12, No. 4.
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OpenCitations Citation Count
17
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Volume
12
Issue
4
Start Page
582
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CrossRef : 16
Scopus : 20
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Mendeley Readers : 2
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20
checked on May 30, 2026
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15
checked on May 30, 2026
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1
checked on May 30, 2026
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