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 Stability of pexider Jensen and Jensen type functional equations on restricted domains Bull. Korean Math. Soc.Published online 2019 Mar 13 Chang-Kwon Choi Kunsan National University Abstract : In this paper, using the Baire category theorem we investigate the Hyers-Ulam stability problem of pexider Jensen functional equation 2f \left(\frac{x+y}{2} \right) - g(x) - h(y) = 0 \nonumber and pexider Jensen type functional equations \begin{align} & f(x+y)+g(x-y)-2h(x)=0, \nonumber \\ & f(x+y)-g(x-y)-2h(y)=0 \nonumber \end{align} on a set of Lebesgue measure zero. As a consequence, we obtain asymptotic behaviors of the functional equations. Keywords : Hyers-Ulam stability, Jensen functional equation, Jensen type functional equation, pexider Jensen functional equation, pexider Jensen type functional equation, restricted domain MSC numbers : 39B82 Full-Text :