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Note explores the link between polynomial approximation and logarithmic capacity in compact sets.
This note presents a question regarding the relationship between approximation by strongly incomplete polynomials on compact subsets K of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <m:mi mathvariant="double-struck">C</m:mi> </m:math> C and the logarithmic capacity of K .
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Charpentier et al. (2026) studied this question.
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