Quadratic-Quartic Functional Equations in RN-Spaces
We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(2x+y)+f(2x−y)=4[f(x+y)+f(x−y)]+2[f(2x)−4f(x)]−6f(y).
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/868423 |