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  1. Chebyshev's versus Markov's inequality - Mathematics Stack Exchange

    Regarding Chebyshev's and Markov's inequality. What is the relation (if any) between them? Which one is more strict (and in which situation)? Is there an easy way to understand what they express (kind of …

  2. What is the intuition behind Chebyshev's Inequality in Measure Theory

    May 12, 2021 · Chebyshev's inequality says that the area in the red box is less than the area under the blue curve $f (x)$. The only issue with this picture is that, depending on $\lambda$ and $f$, you …

  3. Chebyshev polynomials of the first kind orthogonality confusion.

    Dec 24, 2025 · the definition of the Chebyshev polynomials is a bit different, if you look at it again it could solve your issue.

  4. Using Chebyshev's inequality to obtain lower bounds

    May 10, 2012 · I'm unaware of Chebyshev's inequality hence I can't do this question, can anyone help. Q) A company produces planks whose length is a random variable of mean 2.5m and standard …

  5. special functions - Why $w_i=\pi/n$ Chebyshev–Gauss quadrature ...

    Mar 26, 2021 · special-functions chebyshev-polynomials quadrature Share Cite asked Mar 26, 2021 at 12:05

  6. Newest 'chebyshev-polynomials' Questions - Mathematics Stack …

    In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are two sequences of orthogonal polynomials which are related to de Moivre's formula. These polynomials are also known …

  7. How to use Chebyshev Polynomials to approximate $\sin (x)$ and …

    Jun 30, 2015 · It would be better to rephrase the question in more specific terms, like: "How to compute the Fourier-Chebyshev expansion of $\sin (x)$ and $\cos (x)$ over $ [-1,1]$?" - and add your …

  8. probability - Confidence interval using Chebyshev's inequality ...

    Jul 9, 2023 · Chebyshev's inequality looks a strange thing to use here as the distribution and values you see give a lot of information. Clearly $0 \le \theta \le 1$ as it is the parameter of a binomial distribution.

  9. integration - Show that an integral of Chebyshev polynomial yields a ...

    Apr 10, 2025 · Show that an integral of Chebyshev polynomial yields a Bessel function Ask Question Asked 8 months ago Modified 8 months ago

  10. numerical methods - Does Lagrange interpolation at Chebyshev points ...

    Jan 9, 2024 · What distinguishes Chebyshev interpolation using Lagrange polynomials at Chebyshev points, and what advantages does it offer over traditional Lagrange interpolation with equispaced …