Approximation by strongly incomplete polynomials on compact sets | Synapse
April 27, 2026Open Access
Approximation by strongly incomplete polynomials on compact sets
Key Points
The goal is to investigate how strongly incomplete polynomials approximate functions on compact subsets of complex numbers.
Analysis of polynomial behavior on compact subsets of complex analysis.
Examination of the properties of logarithmic capacity related to compact sets.
Establishment of connections between polynomial approximation and logarithmic capacity on specific subsets.
Abstract
Abstract This note presents a question regarding the relationship between approximation by strongly incomplete polynomials on compact subsets K of C C and the logarithmic capacity of K.