ABSTRACT This work employs the techniques to present novel structures to diamond−∝ 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.
Akın et al. (Sat,) studied this question.