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On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
- Issue Date
- Oct-2009
- Publisher
- Gordon and Breach Science Publishers
- Citation
- Journal of Inequalities and Applications, pp 1 - 26
- Pages
- 26
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 26
- ISSN
- 1025-5834
1029-242X
- Abstract
- We establish the general solution of the functional equation f(nx + y) + f(nx - y) = n(2)f(x - y) + 2(f(nx) - n(2)f(x)) -2(n(2) - 1)f(y) for fixed integers n with n not equal 0,+/- 1 and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
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