Abstract
In this paper, using an idea from the direct method of Hyers and Ulam, we investigate the situations so that the generalized Hyers-Ulam stability problem for Appolonius' equation \begin{eqnarray} \nonumber f(x-z)+f(y-z)={1 \over 2}f(x-y)+2f\Big(z-{x+y \over 2}\Big) \end{eqnarray} is satisfied.
Citation
Kil-Woung Jun. Hark-Mahn Kim. "On the stability of Appolonius' equation." Bull. Belg. Math. Soc. Simon Stevin 11 (4) 615 - 624, November 2004. https://doi.org/10.36045/bbms/1102689125
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