Functional Inequalities Associated with Jordanâ€Âvon Neumannâ€ÂType Additive Functional Equations
| Autor: | Choonkil Park, Mi-Hyen Han, Young Sun Cho |
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| Jazyk: | angličtina |
| Rok vydání: | 2006 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2007 (2006) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| DOI: | 10.1155/2007/41820 |
| Popis: | We prove the generalized Hyersâ€ÂUlam stability of the following functional inequalities: ||f(x)+f(y)+f(z)|| ≤ ||2f((x+y+z)/2)||, ||f(x)+f(y)+f(z)|| ≤ ||f(x+y+z)||, ||f(x)+f(y)+2f(z)|| ≤ ||2f((x+y)/2+z)|| in the spirit of the Rassias stability approach for approximately homomorphisms. |
| Databáze: | Directory of Open Access Journals |
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