Orthogonal stability of mixed type additive and cubic functional equations

Document Type : Research Paper

Authors
Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.
Abstract
In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $x\bot y$, where $\bot$  is orthogonality in the sense of Ratz.
Keywords

  • Receive Date 10 December 2013
  • Revise Date 16 May 2014
  • Accept Date 25 October 2014

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