2018
Том 70
№ 5

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

Bakan A. G.

Abstract

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 $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 5, pp 847–852.

Citation Example: Bakan A. G. Criterion for the Denseness of Algebraic Polynomials in the Spaces $L_p \left( {{\mathbb{R}},d {\mu }} \right)$, $1 ≤ p < ∞$ // Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 701-705.

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