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Dynamic Hilbert-Type Inequalities With Fenchel-Legendre Transform

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2020

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Mdpi

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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.

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Eldeeb, Ahmed/0000-0003-2822-4092

Keywords

Hilbert'S Inequality, Fubini Theorem, Fenchel-Legendre Transform, Time Scale

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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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Q2

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17

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Symmetry

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12

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4

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CrossRef : 16

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20

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15

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