# ON BOUNDED SOLUTIONS OF PEXIDER-EXPONENTIAL FUNCTIONAL INEQUALITY

• Accepted : 2013.03.13
• Published : 2013.06.25
• 38 4

#### Abstract

Let G be a commutative group which is 2-divisible, $\mathbb{R}$ the set of real numbers and $f,g:G{\rightarrow}\mathbb{R}$. In this article, we investigate bounded solutions of the Pexider-exponential functional inequality ${\mid}f(x+y)-f(x)g(y){\mid}{\leq}{\epsilon}$ for all $x,y{\in}G$.

#### Keywords

bounded solution;exponential function;Pexider-exponential functional inequality

#### References

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#### Acknowledgement

Supported by : National Research Foundation of Korea (NRF)