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Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities
Journal article   Open access  Peer reviewed

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

S. H. Saker, A. G. Sayed, Ghada AlNemer and M. Zakarya
Advances in difference equations, Vol.2020(1), pp.1-19
02/10/2020
DOI: https://doi.org/10.1186/s13662-020-03006-z

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1186/s13662-020-03006-zView
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