On the denseness of span \(\{x^{\lambda _{j}}(1 - x)^{1 - \lambda _{j}}\}\) in \(C_{0}([0,1])\)

DOI10.1016/j.jfa.2006.01.020zbMath1109.41005OpenAlexW1975557652MaRDI QIDQ852587

Tamás Erdélyi

Publication date: 15 November 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.01.020

zbMATH Keywords

density of function spacesinequalities for Müntz polynomialsMüntz type theorems

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30)

Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• Derivative bounds for Müntz polynomials
• The Full Müntz Theorem in C [0, 1 and L ₁ [0, 1]]
• The ``full Müntz theorem in \(L_p[0,1\) for \(0<p<\infty\).]

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