We consider the weight u(x) = xγe-x-α-xβ, with x ∈ (0, +∞), α > 0, β > 1 and γ ≥ 0, and prove Remez-, Bernstein-Markoff-, Schurand Nikolskii-type inequalities for algebraic polynomials with the weight u on (0, + ∞). © 2012 Springer Basel.

Polynomial Inequalities with an Exponential Weight on (0,+∞)

Notarangelo I.;
2013-01-01

Abstract

We consider the weight u(x) = xγe-x-α-xβ, with x ∈ (0, +∞), α > 0, β > 1 and γ ≥ 0, and prove Remez-, Bernstein-Markoff-, Schurand Nikolskii-type inequalities for algebraic polynomials with the weight u on (0, + ∞). © 2012 Springer Basel.
2013
10
2
807
821
https://link.springer.com/article/10.1007/s00009-012-0231-3
Bernstein-Markoff inequalities; exponential weights; Nikolskii inequalities; realsemiaxis; Remez inequality; Schur inequality; unbounded intervals; Weighted polynomial inequalities
Mastroianni G.; Notarangelo I.; Szabados J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1870050
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