Akin, LutfiDinc, Yavuz2025-09-152025-09-1520250170-42141099-1476https://doi.org/10.1002/mma.70092https://hdl.handle.net/20.500.12514/9262This 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.en10.1002/mma.70092info:eu-repo/semantics/closedAccessChain RuleHardy-Type InequalitiesMinkowski's Integral InequalityTime ScalesArticle2-s2.0-105014603179