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mierzej
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If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial
thank you for your answer. Why this question is better for math.stackexchange.com? What is the difference between here and there?
accepted
If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial
comment
If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial
oooo I see, thanks a lot
comment
If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial
When you say "Now even the pointwise convergence in $d+1$ points yields the coefficientwise convergence" you mean that every coefficient in $P_n$ is is convergent to one of $P$ coefficients?
comment
If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial
uniform convergence
asked
If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is polynomial