On Hardy-Hilbert Inequalities With Α-Fractional Derivatives
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Date
2023
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
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Abstract
In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Holder's inequality on time scales and a few algebraic inequalities.
Description
Ahmed, Marwa/0000-0003-4197-5907; Hassanein, Wael/0000-0002-4679-5676; Eldeeb, Ahmed/0000-0003-2822-4092
Keywords
Steffensen'S Inequality, Dynamic Inequality, Dynamic Integral, Time Scale, Steffensen’s Inequality, Algebraic number, Psychometrics, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Alpha (finance), QA1-939, FOS: Mathematics, Time Scales, Biology, Anomalous Diffusion Modeling and Analysis, dynamic inequality, Construct validity, Ecology, Applied Mathematics, Statistics, time scale, Pure mathematics, Fractional calculus, dynamic integral, steffensen's inequality, Fractional Derivatives, Inequality, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics
Fields of Science
Citation
Ahmed, Marwa M.;...et.al. (2023). "On Hardy-Hilbert-type inequalities with α-fractional derivatives", AIMS Mathematics, Vol.8, No.9, pp.22097-22111.
WoS Q
Q1
Scopus Q
Q1
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Source
AIMS Mathematics
Volume
8
Issue
9
Start Page
22097
End Page
22111
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