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Generalized stability of the Cauchy and the Jensen functional equations on spheres
Authors:Justyna Sikorska
Affiliation:Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland
Abstract:We study a generalized stability problem for Cauchy and Jensen functional equations satisfied for all pairs of vectors x,y from a linear space such that γ(x)=γ(y) or γ(x+y)=γ(xy) with a given function γ.
Keywords:Conditional functional equation   Stability
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