A consequence of Holder's inequality is the well-known inequality betw
een means of orders p and q (0 < q < p): (1/a (0)integral(a) f(p) (x)
dx)(1/p) / (1/a (0)integral(a) f(q) (x) dx)(1/q) greater than or equal
to 1. () We obtain refinements of some known reverse inequalities of
() via establishing a reverse inequality for a new class of function
s. (C) 1998 Academic Press.