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Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities

Article scientifique 2020 Anglais

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Abstract In this paper, we employ some algebraic equations due to Hardy and Littlewood to establish some conditions on weights in dynamic inequalities of Hardy and Copson type. For illustrations, we derive some dynamic inequalities of Wirtinger, Copson and Hardy types and formulate the classical integral and discrete inequalities with sharp constants as particular cases. The results improve some results obtained in the literature.

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Saker, S., Sayed, A., AlNemer, G., Zakarya, M. (2020). Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities. https://doi.org/10.1186/s13662-020-03006-z

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Samir H. Saker A. G. Sayed Ghada AlNemer Mohammed Zakarya

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