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 Stability of the multi-Jensen equation Bull. Korean Math. Soc. 2008 Vol. 45, No. 1, 133-142 Published online March 1, 2008 Wolfgang Prager and Jens Schwaiger Karl-Franzens Universit\"at Graz Abstract : Given an $m\in\mathbb N$ and two vector spaces $V$ and $W$, a function $f:V^m\rightarrow W$ is called multi-Jensen if it satisfies Jensen's equation in each variable separately. In this paper we unify these $m$ Jensen equations to obtain a single functional equation for $f$ and prove its stability in the sense of Hyers-Ulam, using the so-called direct method. Keywords : stability, multi-Jensen functions MSC numbers : 39B52 Downloads: Full-text PDF