Asymptotic behavior of discrete processes driven by means

被引：2

作者：

Abu-Saris, RM ^{[1
]}

机构：

[1] Univ Sharjah, Dept Basic Sci, Sharjah, U Arab Emirates

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 1-2期

关键词：

recurrence relations; difference equations; continuous means; iteration of arithmetic means;

D O I：

10.1016/j.na.2004.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M denote a mean of k(greater than or equal to2) real numbers. We present a complete description of the asymptotic behavior of discrete processes governed by the difference equation of the form y(n+1) = M(y(n),..., y(n-k+1)), n = 0, 1, 2,.... We, also, derive an explicit formula for the limit mean when M is the well-known symmetric arithmetic mean. (C) 2004 Elsevier Ltd, All rights reserved.

引用

页码：245 / 251

页数：7

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