HYERS-ULAM STABILITY OF K-FIBONACCI FUNCTIONAL EQUATION

被引：0

作者：

Bidkham, M. ^{[1
]}

Hosseini, M. ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, POB 35195 363, Semnan, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2011年 / 2卷 / 01期

关键词：

Stability; Fibonacci functional equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let denote by F-k,F-n the nth k-Fibonacci number where Fk,n = kF(k,n-1)+ Fk, (n-2) for n >= 2 with initial conditions F-k,F-0 = 0, F-k,F-1 = 1, we may derive a functional equation f( k, x) = kf( k, x - 1) + f( k, x - 2). In this paper, we solve this equation and prove its Hyere- Ulam stability in the class of functions f : NxR -> X, where X is a real Banach space.

引用

页码：42 / 49

页数：8

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