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

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

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

Functional Analysis 2009-10-08 v2

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

Abstract

In this paper, we prove generalized Hyres--Ulam--Rassias stability of the mixed type additive, quadratic and cubic functional equation $f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)$ for fixed integers $k$ with $k\neq0,\pm1$ in non-Archimedean spaces.

Keywords

hyers-ulam-rassias stability mixed type functional equation additive-quadratic-cubic functional equation non-archimedean spaces generalized stability

Cite

@article{arxiv.0909.5692,
  title  = {Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces},
  author = {M. Eshaghi Gordji and M. Bavand Savadkouhi and Th. M. Rassias},
  journal= {arXiv preprint arXiv:0909.5692},
  year   = {2009}
}

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