Some Hardy-type inequalities (Q1589720)

The aim of the paper is to prove some generalizations of results by \textit{B. G. Pachpatte} [Proc. R. Soc. Edinb., Sect. A 105, 265-274 (1987; Zbl 0624.26014) and Soochow J. Math. 13, No. 2, 203-210 (1987; Zbl 0652.26019)] as well as that of \textit{M. Izumi} and \textit{S. Izumi} [J. Anal. Math. 21, 277-291 (1968; Zbl 0164.36803)] on Hardy-type inequalities involving several functions. The authors use a method based on that of \textit{N. Levinson} [Duke Math. J. 31, 389-394 (1964; Zbl 0126.28101)].