On Innovative Conditions for Weighted Hardy-Type Inequalities on Time Scales
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2025
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Wiley
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Abstract
This article presents necessary and sufficient conditions for novel characterizations of weighted Hardy-type inequalities applying the chain rule, Minkowski's inequality, and H & ouml;lder's inequality with nabla calculus on time scales. Properties of time scales and Okpoti inequality are exploited to derive our results. These results differ from classical weighted Hardy-type inequalities because they are examined on time scales that combine discrete and continuous cases.
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Chain Rule, Hardy-Type Inequalities, Minkowski's Integral Inequality, Time Scales
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Mathematical Methods in the Applied Sciences