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- W3207872907 abstract "We study residual polynomials, (R_{x_0,n}^{({mathfrak {e}})}), (mathfrak {e}subset {{mathbb {R}}}), (x_0in {{mathbb {R}}}backslash mathfrak {e}), which are the degree at most n polynomials with (R(x_0)=1) that minimize the (sup ) norm on (mathfrak {e}). New are upper bounds on their norms (that are optimal in some cases) and Szegő–Widom asymptotics under fairly general circumstances. We also discuss several illuminating examples and some results in the complex case such as root asymptotics, a universal lower bound, and a new characterization of sets saturating this lower bound." @default.
- W3207872907 created "2021-10-25" @default.
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- W3207872907 date "2021-10-18" @default.
- W3207872907 modified "2023-09-24" @default.
- W3207872907 title "Asymptotics of Chebyshev polynomials, V. residual polynomials" @default.
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- W3207872907 doi "https://doi.org/10.1007/s11139-021-00500-0" @default.
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