• Title/Summary/Keyword: Pexider-exponential functional inequality

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ON BOUNDED SOLUTIONS OF PEXIDER-EXPONENTIAL FUNCTIONAL INEQUALITY

  • Chung, Jaeyoung;Choi, Chang-Kwon;Lee, Bogeun
    • Honam Mathematical Journal
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    • v.35 no.2
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    • pp.129-136
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    • 2013
  • 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 $x,y{\in}G$.