Article
Approximate tri-quadratic functional equations via Lipschitz conditions
Mathematica Bohemica
(2017)
Abstract
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations.
We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
Keywords
- tri-quadratic functional equation,
- Lipschitz space,
- stability.
Disciplines
- Mathematics and
- Analysis
Publication Date
Summer 2017
DOI
10.21136/MB.2017.0028-16
Citation Information
Ismail Nikoufar. "Approximate tri-quadratic functional equations via Lipschitz conditions" Mathematica Bohemica Vol. 142 Iss. 4 (2017) p. 337 - 344 ISSN: 0862-7959 Available at: http://works.bepress.com/nikoufar/28/