Approximate tri-quadratic functional equations via Lipschitz conditions

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.

Bibliographic Details
Main Author: Ismail Nikoufar
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/4/mb142_4_1.pdf