A VERSION OF KOLMOGOROV-ARNOLD REPRESENTATION THEOREM FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
The most revised version of KolmogorovArnoldrepresentation theorem shows that all continuous functions of several variables can be represented as superpositions which are constructed from the sums of continuous functions of one variables. in 2008 Kodama and Akashi show a relation between Kolmogorov-Arnold representation theorem and Vitushkin theorem. In this paper, we discuss the problem asking what kind of differentiable functions of several variables can be represented as KolmogorovArnoldsuperpositions constructed from only several differentiable functions of one variable
How to Cite
Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.