Dergiler / Results in Nonlinear Analysis / 2018 / Cilt: 1 - Sayı: 2

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

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

Shigeo AKASHİ

Sayfa
58–64
DOI
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Abstract

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.