Samraiz, MuhammadAkin, Lutfi2026-03-152026-03-1520250942-56161521-3870https://hdl.handle.net/20.500.12514/10500https://doi.org/10.1002/malq.70007This work employs the techniques to present novel structures to diamond-proportional to Hardy-type inequalities with boundedness. To this end, the properties of sub-multiplicative convex functions, Hölder's inequality, Jensen's inequality, and the chain rule are utilized. Additionally, the findings of this study are integrated with those of time-scale calculus and extended. The results sometimes yield constant-valued counterparts to some inequalities identified in the existing literature.en10.1002/malq.70007info:eu-repo/semantics/closedAccessHardy-Type InequalityJensen InequalityTime ScaleHölder InequalityArticle2-s2.0-105030118176