A new approach to Hardy-type inequalities (Q2257992)

In this paper, the author introduced a new method to prove a general weighted Hardy-type inequality on the halfline. This new method allowed the deduction of a given estimate from the existence of a certain special function which posses appropriate domination and monotonicity properties. As an application, a new proof of the classical Hardy type inequality obtained by \textit{G. A. Bliss} [J. Lond. Math. Soc. 5, 40--46 (1930; JFM 56.0434.02)] was presented.