Stability of the Pexiderized Lobacevski Equation
The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equation f((x+y)/2)2=g(x)h(y), where f, g, h : G2→ℂ are unknown functions on an Abelian semigroup (G,+). The obtained result is a generalization of Gǎvruţa's result in 1994 and Kim's r...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/540274 |
| Summary: | The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equation f((x+y)/2)2=g(x)h(y), where f, g, h : G2→ℂ are unknown functions on an Abelian semigroup (G,+). The obtained result is a generalization of Gǎvruţa's result in 1994 and Kim's result in 2010. |
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| ISSN: | 1110-757X 1687-0042 |