Dynamic Hilbert-Type Inequalities With Fenchel-Legendre Transform
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
17
Source
Symmetry
Volume
12
Issue
4
Start Page
582
End Page
PlumX Metrics
Citations
CrossRef : 16
Scopus : 20
Captures
Mendeley Readers : 2
SCOPUS™ Citations
20
checked on Feb 26, 2026
Web of Science™ Citations
15
checked on Feb 26, 2026
Page Views
1
checked on Feb 26, 2026
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