The stability of functional equation min{f(x + y), f(x - y)} = |f(x) - f(y)|

被引：0

作者：

Barbara Przebieracz

机构：

[1] Instytut Matematyki,

来源：

Journal of Inequalities and Applications | / 2011卷

关键词：

stability of functional equations; absolute value of additive mappings;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable.

引用

共 50 条

[1] The stability of functional equation min{f(x+y), f(x-y)}=|f(x)-f(y)|
Przebieracz, Barbara
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[2] On the functional equation x + f(y + f(x))=y + f(x + f(y))
Jürg Rätz
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[3] On the functional equation x + f(y + f(x)) = y + f(x + f(y))
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[4] On the functional equation x + f (y + f(x)) = y + f (x + f(y)), II
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[5] FUNCTIONAL-EQUATION - F(F(X)]F(Y)) = F(X]Y)
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MANUSCRIPTA MATHEMATICA, 1976, 18 (04) : 371 - 390
[6] STABILITY OF THE EQUATION F(X+Y)=F(X)F(Y)
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[8] ON FUNCTIONAL EQUATION F(X+Y)=F(X).F(Y)
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[9] On the stability of the functional equation f(x+y+xy)=f(x)+f(y)+xf (y)+yf(x)
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Park, KH
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[10] On the stability of the functional equation f(x+y-xy)+xf(y)+yf(x)=f(x)+f(y)
Jung, YS
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (01): : 79 - 85

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