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Bivariate Polynomials of Least Deviation from Zero

Canadian Journal of Mathematics, 2001
AbstractBivariate polynomials with a fixed leading term xmyn, which deviate least fromzero in the uniform or L2-norm on the unit disk D (resp. a triangle) are given explicitly. A similar problem in Lp, 1 ≤ p ≤ ∞, is studied on D in the set of products of linear polynomials.
Bojanov, Borislav D.   +2 more
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On trigonometric polynomials least deviating from zero

Doklady Mathematics, 2009
We give a solution of the problem about trigonometric polynomials with a given leading harmonic and least deviating from zero in measure; more precisely, with respect to the functional μ(fn) = mes {t ∈ [0, 2π]: |fn(t)| ≥ 1}. We give a solution of a related problem about the minimal value over compact sets (from the real line) of a given measure of ...
V. V. Arestov, A. S. Mendelev
openaire   +1 more source

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