List questions from chebyshev-polynomials

Published on 15 Jan 2017 - 23:57

110

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Solving $x+y+z+u+t=0$, $x^3+y^3+z^3+u^3+t^3=0$, $x^5+y^5+z^5+u^5+t^5=-10$

Published on 20 Jan 2017 - 15:07

26

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$n$ is a prime number $\iff $ $\frac{Tn(x)}{x}$ is irreducible on $Q[x]$

Published on 22 Jan 2017 - 3:39

123

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Prove that $\prod\limits_{k=1}^{[n/2]} (3+2\cos\frac{2kπ}{n}) =F_n$

Published on 22 Jan 2017 - 6:07

3k

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Biased coin problem using Chebyshev's inequality

Published on 15 Feb 2017 - 21:15

515

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Minimizing an Integral (Chebyshev Polynomials)

Published on 02 Mar 2017 - 7:20

180

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Computing Variance and Expected Value With Random Variables

Published on 06 Mar 2017 - 21:02

259

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Understanding Chebyshev's Inequality

Published on 06 Mar 2017 - 22:29

137

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Quotient of sine functions and the Chebyshev polynomials of the second kind

Published on 25 Mar 2017 - 11:23

55

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Chebyshev's, Gauss' and Vysochanski˘i-Petunin Inequalities for uniform and normal distribution

Published on 27 Mar 2017 - 20:39

265

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Prove that the Chebyshev polynomials have interlacing zeros.

Published on 27 Mar 2017 - 23:47

47

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Proving a bound for the leading coefficient of a polynomial.

Published on 28 Mar 2017 - 0:02

38

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Prove: $ \|\hat{p}_n\|_\infty \leq \|p\|_\infty$ for all $p \in \mathbb{P}^a_n$

Published on 06 Apr 2017 - 1:51

55

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Product Formula for Real Cyclotomic Polynomials

Published on 17 Feb 2023 - 3:00

139

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Question on convergence of Chebyshev series

Published on 27 Feb 2023 - 18:30

List Question

Prove that the normalized Chebyshev polynomials are the best approximation to zero in $[-1,1]$

Solving $x+y+z+u+t=0$, $x^3+y^3+z^3+u^3+t^3=0$, $x^5+y^5+z^5+u^5+t^5=-10$

$n$ is a prime number $\iff $ $\frac{Tn(x)}{x}$ is irreducible on $Q[x]$

Prove that $\prod\limits_{k=1}^{[n/2]} (3+2\cos\frac{2kπ}{n}) =F_n$

Biased coin problem using Chebyshev's inequality

Minimizing an Integral (Chebyshev Polynomials)

Computing Variance and Expected Value With Random Variables

Understanding Chebyshev's Inequality

Quotient of sine functions and the Chebyshev polynomials of the second kind

Chebyshev's, Gauss' and Vysochanski˘i-Petunin Inequalities for uniform and normal distribution

Prove that the Chebyshev polynomials have interlacing zeros.

Proving a bound for the leading coefficient of a polynomial.

Prove: $ \|\hat{p}_n\|_\infty \leq \|p\|_\infty$ for all $p \in \mathbb{P}^a_n$

Product Formula for Real Cyclotomic Polynomials

Question on convergence of Chebyshev series

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