List questions from chebyshev-polynomials

Published on 13 Apr 2026 - 17:00

113

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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 17 Apr 2026 - 3:02

29

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

Published on 16 Apr 2026 - 2:13

126

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

Published on 16 Apr 2026 - 5:40

3k

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Biased coin problem using Chebyshev's inequality

Published on 11 Apr 2026 - 11:09

518

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Minimizing an Integral (Chebyshev Polynomials)

Published on 13 Apr 2026 - 14:14

183

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Computing Variance and Expected Value With Random Variables

Published on 14 Apr 2026 - 5:41

262

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Understanding Chebyshev's Inequality

Published on 12 Apr 2026 - 7:42

140

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

Published on 13 Apr 2026 - 14:58

58

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

Published on 16 Apr 2026 - 0:41

268

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Prove that the Chebyshev polynomials have interlacing zeros.

Published on 14 Apr 2026 - 12:03

50

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Proving a bound for the leading coefficient of a polynomial.

Published on 14 Apr 2026 - 1:29

41

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

Published on 17 Apr 2026 - 13:41

58

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Product Formula for Real Cyclotomic Polynomials

Published on 15 Apr 2026 - 13:34

140

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Question on convergence of Chebyshev series

Published on 25 Mar 2026 - 17:22

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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