A note on stability of the general linear equation

被引：35

作者：

Brzdek, Janusz ^{[1
]}

Pietrzyk, Andrzej ^{[2
]}

机构：

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

[2] Silesian Univ, Dept Math, PL-40007 Katowice, Poland

来源：

关键词：

General linear equation; stability of functional equations;

D O I：

10.1007/s00010-007-2894-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a result concerning stability of the general linear functional equation: F(alpha x + beta y + gamma) = AF(x) + BF(y) + C.

引用

页码：267 / 270

页数：4

共 12 条

[1]

[Anonymous], 2006, DEMONSTR MATH

[2]

Badea C., 1994, STABILITY MAPPINGS H, P3

[3]

Badea C., 2005, NONLINEAR FUNCT ANAL, V10, P155

Forti, GL .

[5]

Grabiec A, 1996, PUBL MATH-DEBRECEN, V48, P217

[6]

Hyers D.H., 1998, Stability of Functional Equations in Several Variables

[7]

Jung S. -M., 2001, HYERS ULAM STABILITY

[8]

Jung S. M., 1998, NONLINEAR STUD, V5, P59

[9]

Kuczma M, 1985, An introduction to the theory of functional equations and inequalities

[10]

Popa D., 2002, NONLINEAR FUNCT ANAL, V4, P581