The Ulam Type Stability of a Generalized Additive Mapping and Concrete Examples
| Autor: | Hiroyoshi Oda, Makoto Tsukada, Takeshi Miura, Yuji Kobayashi, Sin-Ei Takahasi |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2013/109754 |
| Popis: | We give an Ulam type stability result for the following functional equation: f(αx−αx′+x0)=βf(x)−βf(x′)+y0 (for all x,x′∈X) under a suitable condition. We also give a concrete stability result for the case taking up δ∥x∥p∥x′∥q as a control function. |
| Databáze: | Directory of Open Access Journals |
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