Dynamic Hilbert-Type Inequalities with Fenchel-Legendre Transform by Ahmed A. El-Deeb, Samer D. Makharesh, Dumitru Baleanu

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On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales by Ahmed A. El-Deeb, Clemente Cesarano

“…Our main inequalities are proved by using the chain rule and Fubini’s theorem on time scales <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">T</mi></semantics></math></inline-formula>. …”
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Diamond-<i>α</i> Hardy-Type Inequalities on Time Scales by Ahmed A. El-Deeb, Jan Awrejcewicz

“…The results are proved by using the dynamic Jensen inequality and the Fubini theorem on time scales. Our main results extend existing results of the integral and discrete Hardy-type inequalities. …”
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Dynamic Inequalities of Two-Dimensional Hardy Type via Alpha-Conformable Derivatives on Time Scales by Ahmed A. El-Deeb, Alaa A. El-Bary, Jan Awrejcewicz, Kamsing Nonlaopon

“…Our results are proved by using two-dimensional dynamic Jensen’s inequality and Fubini’s theorem on time scales. When <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>, then we obtain some well-known time-scale inequalities due to Hardy. …”
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