Abstract
We consider the weight \({{u(x) = x^{\gamma} e^{-x^{-\alpha}-x^{\beta}}}}\) , with \({{x \in(0,+\infty)}}\) , 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, + ∞).
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The first two authors were partially supported by PRIN 2008 “Equazioni integrali con struttura e sistemi lineari” N. 20083KLJEZ and by University of Basilicata (local funds). The third author acknowledges the support of OTKA No. T049196.
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Mastroianni, G., Notarangelo, I. & Szabados, J. Polynomial Inequalities with an Exponential Weight on (0,+∞). Mediterr. J. Math. 10, 807–821 (2013). https://doi.org/10.1007/s00009-012-0231-3
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DOI: https://doi.org/10.1007/s00009-012-0231-3