Fibonacci mean and golden section mean

被引：10

作者：

Kim, Hee Sik ^{[1
]}

Neggers, J. ^{[2
]}

机构：

[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea

[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 01期

关键词：

(inverse derived) Fibonacci mean; (inverse) derived mean; golden section mean;

D O I：

10.1016/j.camwa.2007.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show that there is a mapping D : M -> DM on means such that if M is a Fibonacci mean so is DM, that if M is the harmonic mean, then DM is the arithmetic mean, and if M is a Fibonacci mean, then lim(n ->infinity) D-n M is the golden section mean. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：228 / 232

页数：5