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Hindi Movie Download HD 720p, PPT on veer-zaara, veer-zaara hd wallpaper veer zara hd 720p. Veer Zara Hindi Full Movie HD 1745 MB. Veer Zaara (2004) .Q:

Prove that $q_n \le \int_{ -1}^1 g(x)dx$ for all $n$ implies $g(x) \le 0$.

Prove that if $g$ and $g^\prime$ are bounded on $[-1,1]$ then there exists a sequence of polynomials $q_n$ such that for all $n$ and all $x$ in $[-1,1]$
$$q_n(x) \le \int_{ -1}^1 g(x)dx$$
I know that since $q_n$ is polynomial we can write $q_n(x)=\sum_{k=0}^{n} \frac{c_k}{n+1}$
This implies that $\frac{c_k}{n+1} \le \int_{ -1}^1 g(x)dx$.
So how do I go about proving that if $g$ and $g^\prime$ are bounded on $[-1,1]$ then there exists a sequence of polynomials $q_n$ such that for all $n$ and all $x$ in $[-1,1]$
$q_n(x) \le \int_{ -1}^1 g(x)dx$
I know that since $q_n$ is polynomial we can write $q_n(x)=\sum_{k=0}^{n} \frac{c_k}{n+1}$
This implies that $\frac{c_k}{n+1} \le \int_{ -1}^1 g(x)dx$.
I can’t go any further than this since I don’t know how to prove that if $g$ and $g^\prime$ are bounded on $[-1,1]$ then there exists a sequence of polynomials $q_n$ such that for all $n$ and all $x$ in $[-1,1]$
$q

https://colab.research.google.com/drive/14JZbkKNSzJ_wTQU8-Na4DTe_R40MIYG0
https://colab.research.google.com/drive/1KhPfTRqwgIikL-eW4PnV02ZvWVhkLJQ7
https://colab.research.google.com/drive/1haFsik6Nlzq6S-Ptp6cBMRz4KbEKzi4w
https://colab.research.google.com/drive/1UNot9-ykIzO3gVuk-UgwVPW79vT-bAFx
https://colab.research.google.com/drive/1cdms62F6qTezijiZUaWwYLCSM5SaPcft

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