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Criterion for the Denseness of Algebraic Polynomials in the Spaces \(L_p \left( {{\mathbb{R}},d {\mu }} \right)\), 1 ≤ p < ∞

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Abstract

The criterion for the denseness of polynomials in the space \(L_p (\mathbb{R},d{\mu })\) established by Hamburger in 1921 is extended to the spaces \(L_p (\mathbb{R},d{\mu })\), 1 ≤ p < ∞.

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Authors
  1. A. G. Bakan
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Bakan, A.G. Criterion for the Denseness of Algebraic Polynomials in the Spaces \(L_p \left( {{\mathbb{R}},d {\mu }} \right)\), 1 ≤ p < ∞. Ukrainian Mathematical Journal 55, 847–852 (2003). https://doi.org/10.1023/B:UKMA.0000010260.92625.e2

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010260.92625.e2

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