Asymptotic behavior of discrete processes driven by means Original Research Article

Let M denote a mean of k(⩾2)k(⩾2) real numbers. We present a complete description of the asymptotic behavior of discrete processes governed by the difference equation of the form View the MathML sourceyn+1=M(yn,…,yn-k+1),n=0,1,2,…. Turn MathJax on We, also, derive an explicit formula for the limit mean when M is the well-known symmetric arithmetic mean.