A note on stability of polynomial equations

被引：5

作者：

Brzdek, Janusz ^{[1
]}

Stevic, Stevo ^{[2
]}

机构：

[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland

[2] Serbian Acad Sci, Math Inst, Beograd 11000, Serbia

来源：

AEQUATIONES MATHEMATICAE | 2013年 / 85卷 / 03期

关键词：

Hyers-Ulam stability; fixed point; polynomial type equation; Banach algebra; HYERS-ULAM STABILITY; FIXED-POINT APPROACH; FUNCTIONAL-EQUATIONS; LINEAR RECURRENCE;

D O I：

10.1007/s00010-012-0146-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the notion of Ulam's type stability and some recent results of S.-M. Jung, concerning the stability of zeros of polynomials, we prove a stability result for functional equations that have polynomial forms, considerably improving the results in the literature.

引用

收藏

页码：519 / 527

页数：9

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