Abstract. Recently G. Bennett gave a unified approach of the results proved, among others, by E. T. Copson; M. Izumi, S. Izumi and G. M. Petersen; D. Borwein and A. Jakimowski; J. M. Cartlidge; and the author. Now we give certain converses of four theorems of G. Bennett and some slight generalizations of several known inequalities.

AMS Subject Classification (1991): 40A05

Keyword(s): inequalities

Received December 30, 1992. (Registered under 5548/2009.)