Akın, L.2025-10-152025-10-1520250037-87122175-1188https://doi.org/10.5269/bspm.63119https://hdl.handle.net/20.500.12514/9816In this article, we introduce some innovations for the validity of a generalized two-weighted and variable exponent Hardy-type inequality on time scales via diamond−α integral. The corresponding continuous case is given when T = R. At the end of our study, some applications are added that prove the validity of our main result for some continuous results that are well-known in the literature. © Soc. Paran. de Mat.en10.5269/bspm.63119info:eu-repo/semantics/closedAccess35B4035L70Diamond-Α IntegralHardy-Type InequalityTime ScalesHardy-Type InequalitDiamond-Alpha IntegralDiamond−α IntegralArticle2-s2.0-105022597894