The existence of polynomials which are unrepresentable in Kolmogorov-Arnold superposition representation

In this paper, it is proved that there exist polynomials of three complex variables which cannot be represented as any Kolmogorov-Arnold superposition, which has played important roles in the original version of Hilbert’s 13th problem.

Bibliographic Details
Main Author: Shigeo Akashi
Format: Article
Language:English
Published: Erdal KARAPINAR 2018-06-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:http://static.dergipark.org.tr/article-download/f576/1488/b96a/5b11b9910b0f5.pdf?