Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON BOUNDED SOLUTIONS OF PEXIDER-EXPONENTIAL FUNCTIONAL INEQUALITY

  • Chung, Jaeyoung (Department of Mathematics, Kunsan National University) ;
  • Choi, Chang-Kwon (Department of Mathematics, Kunsan National University) ;
  • Lee, Bogeun (Department of Mathematics, Kunsan National University)
  • Received : 2013.02.20
  • Accepted : 2013.03.13
  • Published : 2013.06.25
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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 $x,y{\in}G$.

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References

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