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A counterexample on global Chebyshev approximation

✍ Scribed by Guohui Feng


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
198 KB
Volume
51
Category
Article
ISSN
0021-9045

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Answering a conjecture of M. von Golitschek in the negative, a compact set K is constructed on the plane such that not every continuous function on K can be uniformly approximated by continuous functions of the form g(x)+h( y), and yet K does not contain a closed path of points with consequitive poi