Where does the -norm of a weighted polynomial live?

Authors:
H. N. Mhaskar and E. B. Saff

Journal:
Trans. Amer. Math. Soc. **303** (1987), 109-124

MSC:
Primary 41A65; Secondary 42C10

DOI:
https://doi.org/10.1090/S0002-9947-1987-0896010-9

Erratum:
Trans. Amer. Math. Soc. **308** (1988), 431.

MathSciNet review:
896010

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Abstract | References | Similar Articles | Additional Information

Abstract: For a general class of nonnegative weight functions having bounded or unbounded support , the authors have previously characterized the smallest compact set , having the property that for every and every polynomial of degree ,

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1987-0896010-9

Keywords:
Weighted polynomials,
orthogonal polynomials,
extremal polynomials,
Nikolskii-type inequalities,
potential theory

Article copyright:
© Copyright 1987
American Mathematical Society