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

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

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Bibliographic Details
Date:2003
Main Authors: Bakan, A. G., Бакан, А. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3944
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal