M. B. Savadkouhi

most citedStability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces

4 citations · 6 across the 4 of their papers we have counts for

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math.FA2009★ 4 cited

Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi, Th. M. Rassias

In this paper, we prove generalized Hyres--Ulam--Rassias stability of the mixed type additive, quadratic and cubic functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2…

math.FA2008★ 1 cited

Stability of cubic and quartic functional equations in non-Archimedean spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi

We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation $f (k x + y) + f (k x - y) = k [f (x + y) + f (x - y)] + 2 (k^{3} - k) f (x)$ for all $k \in N$ and the quartic functional…