ABSTRACT
Lemma 1. Let {xn} be a solution of Eq. {l} and let {Pn};;'=o be a sequence of positive real numbers. Set
(2)
Theorem 2 . Assume that {Pn} is a sequence of positive real numbers such that
Pn+3 � Pn-l Pn+3An � PnAn-l
, n ;;::: O
for some P E (0, 00) . Then the following statements are true: (a)En+l�Enforalln ;;:::1 .
