A note on an iterative process

Dragoslav Herceg, Nenad Petrović

In this paper we consider the numerical solution of the equation $f(x)=0$ on the interval $D=[a,b]\subset R$, for a real-valued function $f$, by the iterative process (1) from [1]. For this method we give some sufficient conditions for the convergence, and also prove the stopping inequality for $n=1,2,\dots$.