On the stability of the quadratic mapping in normed spaces
The Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y), f(x+y+z)+f(x−y)+f(y−z)+f(z−x)=3f(x)+3f(y)+3f(z), f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) are investigat...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004707 |