We consider the weight u(x) = x^γ e^(−x^(−α)−x^β) with x∈(0,+∞), α > 0, β > 1 and γ ≥ 0, and prove Remez-, Bernstein–Markoff-, Schur and Nikolskii-type inequalities for algebraic polynomials with the weight u on (0,+∞).
Polynomial Inequalities with an Exponential Weight on (0,+∞)
MASTROIANNI, Giuseppe Maria;NOTARANGELO, INCORONATA;
2013-01-01
Abstract
We consider the weight u(x) = x^γ e^(−x^(−α)−x^β) with x∈(0,+∞), α > 0, β > 1 and γ ≥ 0, and prove Remez-, Bernstein–Markoff-, Schur and Nikolskii-type inequalities for algebraic polynomials with the weight u on (0,+∞).File in questo prodotto:
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