The Mixed Cubic-Quartic Functional Equation

Cubic-Quartic Functional Equation

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...

Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces

and Applied Analysis 3 vector spaces X and Y is a solution of 1.5 if and only if there exists a unique function C : X × X × X → Y such that f x C x, x, x for all x ∈ X, and C is symmetric for each fixed one variable and is additive for fixed two variables see also 20 . The quartic functional equation 1.6 was introduced by Rassias 21 in 2000 and then in 2005 was employed by Park and Bae 22 and o...

Stability of a mixed type quadratic, cubic and quartic functional equation

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation 3(f(x+ 2y) + f(x− 2y)) = 12(f(x + y) + f(x− y)) + 4f(3y)− 18f(2y) + 36f(y)− 18f(x).

On the Stability of the Orthogonally Quartic Functional Equation

Cubic-quartic functional equations in fuzzy normed spaces

In this paper, we investigate the generalizedHyers--Ulam stability of the functional equation