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

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

$L_p \left( {{\mathbb{R}},d {\mu }} \right)$ ,

$1 ≤ p < ∞$ .

25.05.2003

Short communications

Bakan, A. G. “Criterion for the Denseness of Algebraic Polynomials in the Spaces

$L_p \left( {{\mathbb{R}},d {\mu }} \right)$ ,

$1 ≤ P < ∞$ ”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 5, May 2003, pp. 701-5, https://umj.imath.kiev.ua/index.php/umj/article/view/3944.

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