Orthogonal stability of a cubic-quartic functional equation
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Authors
Choonkil Park
- Department of Mathematics, Hanyang University, Seoul 133-791, Korea.
Abstract
Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally cubic-quartic functional
equation
\[f(2x + y) + f(2x - y) = 3f(x + y) + f(-x - y) + 3f(x - y) + f(y - x)
+ 18f(x) + 6f(-x) - 3f(y) - 3f(-y)\quad (1)\]
for all \(x, y\) with \(x \perp y\).
Share and Cite
ISRP Style
Choonkil Park, Orthogonal stability of a cubic-quartic functional equation, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 1, 28--36
AMA Style
Park Choonkil, Orthogonal stability of a cubic-quartic functional equation. J. Nonlinear Sci. Appl. (2012); 5(1):28--36
Chicago/Turabian Style
Park, Choonkil. "Orthogonal stability of a cubic-quartic functional equation." Journal of Nonlinear Sciences and Applications, 5, no. 1 (2012): 28--36
Keywords
- Hyers-Ulam stability
- orthogonally cubic-quartic functional equation
- fixed point
- orthogonality space.
MSC
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