Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces

M. Eshaghi Gordji; H. Khodaei

Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces

Functional Analysis 2008-12-17 v1

Authors: M. Eshaghi Gordji , H. Khodaei

Abstract

In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation $f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)\eqno {2 cm}$ for fixed integers $k$ with $k\neq0,\pm1$ in the quasi-Banach spaces.

Keywords

functional equation quasi-Banach spaces Hyers-Ulam-Rassias stability mixed type generalized solution

Cite

@article{arxiv.0812.2931,
  title  = {Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces},
  author = {M. Eshaghi Gordji and H. Khodaei},
  journal= {arXiv preprint arXiv:0812.2931},
  year   = {2008}
}

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