On approximate cubic homomorphisms

M. Eshaghi Gordji; M. Bavand Savadkouhi

On approximate cubic homomorphisms

Classical Analysis and ODEs 2009-03-09 v1 Functional Analysis

Authors: M. Eshaghi Gordji , M. Bavand Savadkouhi

Abstract

In this paper, we investigate the generalized Hyers--Ulam--Rassias stability of the system of functional equations $f(xy)=f(x)f(y), \qquad\qquad. f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x),$ on Banach algebras. Indeed we establish the superstability of above system by suitable control functions.

Keywords

hyers-ulam stability stability theory harmonic functions

Cite

@article{arxiv.0903.1066,
  title  = {On approximate cubic homomorphisms},
  author = {M. Eshaghi Gordji and M. Bavand Savadkouhi},
  journal= {arXiv preprint arXiv:0903.1066},
  year   = {2009}
}

Comments

11 pages

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