Abstract
In this paper, we introduce and solve of the radical quadratic and radical quartic functional equations: f(ax2+by2)=af(x)+bf(y),f(ax2+by2)+f(|ax2−by2|)=2a2f(x)+2b2f(y). We also establish some stability results in 2-normed spaces and then the stability by using subadditive and subquadratic functions in p-2-normed spaces for these functional equations.
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