On the stability of Appolonius' equation
| Autor: | Hark-Mahn Kim, Kil-Woung Jun |
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| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | Bull. Belg. Math. Soc. Simon Stevin 11, no. 4 (2004), 615-624 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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