On weighted polynomial approximation

I. Kh. Musin

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arXiv · 1712.09314

On weighted polynomial approximation

I. Kh. Musin

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Abstract

Let $\varPhi:{\mathbb R}^n \to [1, \infty)$ be a semi-continuous from below function such that $\lim \limits_{x \to \infty} \displaystyle \frac {\ln \varPhi(x)} {\Vert x \Vert} = +\infty$. It is shown that polynomials are dense in $C_{\varPhi}({\mathbb R}^n)$.

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I. Kh. Musin. 2017-12-26. On weighted polynomial approximation. https://arxiv.org/abs/1712.09314

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