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Browsing by Author "Rezk, Haytham M."

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    Citation - WoS: 22
    Citation - Scopus: 19
    Refinement multidimensional dynamic inequalities with general kernels and measures
    (Springeropen, 2019) Saker, Samir H.; Rezk, Haytham M.; Abohela, Islam; Baleanu, Dumitru; 56389; Matematik
    Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy's type on time scales. Our results contain some of the recent results related to classical multidimensional Hardy's and Polya-Knopp's inequalities on time scales. To show motivation of the paper, we apply our results to obtain some particular multidimensional cases and provide refinements of some Hardy-type inequalities known in the literature.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Weighted Dynamic Hardy-Type Inequalities Involving Many Functions on Arbitrary Time Scales
    (Springer, 2022) El-Deeb, Ahmed A.; Mohamed, Karim A.; Baleanu, Dumitru; Rezk, Haytham M.; Matematik
    The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special cases, we get continuous and discrete inequalities.