On Some Dynamic Inequalities of Hilbert's-type on Time Scales
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Abstract
In this article, we will prove some new conformable fractional Hilbert-type dynamic inequalities on time scales. These inequalities generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, conformable fractional Ho center dot lder inequalities, and conformable fractional Jensen's inequalities on time scales.
Description
Shah, Nehad Ali/0000-0002-1949-5643; Eldeeb, Ahmed/0000-0003-2822-4092; S. Algolam, Mohamed/0000-0003-4005-9595
Keywords
Hilbert?S Inequality, Time Scales, Dynamic Inequality, Algebraic number, Ecology, Applied Mathematics, Physics, Pure mathematics, Conformable matrix, Matrix Inequalities and Geometric Means, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Inequality, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, FOS: Mathematics, Time Scales, Type (biology), Biology, Mathematics, Anomalous Diffusion Modeling and Analysis
Fields of Science
01 natural sciences, 0101 mathematics
Citation
El-Deeb, Ahmed A.;...et.al. (2023). "On some dynamic inequalities of Hilbert’s-type on time scales", AIMS Mathematics, Vol.8, No.2, pp.3378-3402.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
N/A
Source
AIMS Mathematics
Volume
8
Issue
2
Start Page
3378
End Page
3402
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