Geodesic
Orthogonal stability of a cubic-quartic functional equation
Park, Choonkil1
1 Department of Mathematics, Hanyang University, Seoul 133-791, Korea
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 1, p. 28-36.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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 $x \perp y$.
DOI : 10.22436/jnsa.005.01.04
Classification : 39B55, 47H10, 39B52, 46H25
Keywords: Hyers-Ulam stability, orthogonally cubic-quartic functional equation, fixed point, orthogonality space.

Park, Choonkil 1

1 Department of Mathematics, Hanyang University, Seoul 133-791, Korea 
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Park, Choonkil. Orthogonal stability of a cubic-quartic functional equation. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 1, p. 28-36. doi : 10.22436/jnsa.005.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.01.04/

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