Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation
We study general solutions and generalized Hyers-Ulam-Rassias stability of the following 𝑛-dimensional functional equation ∑𝑓(𝑘𝑖=1𝑥𝑖∑)+(𝑘−2)𝑘𝑖=1𝑓(𝑥𝑖∑)=𝑘𝑖=1∑𝑘𝑗=1,𝑗>𝑖𝑓(𝑥𝑖+𝑥𝑗), 𝑘≥3, on non-Archimedean normed spaces.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/326951 |