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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. 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 …

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

    Mar 26, 2021 · Explore related questions special-functions chebyshev-polynomials quadrature See similar questions with these tags.

  5. probability theory - Please explain about Chebyshev's inequality ...

    Dec 18, 2015 · One cannot in general turn the Chebyshev Inequality into a correct one-sided inequality by simply dividing the tail probability by $2$. However, there are one-sided inequalities, for example …

  6. 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 …

  7. 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

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

    Nov 24, 2025 · 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 …

  9. numerical methods - Accuracy of Chebyshev vs Legendre Polynomials …

    Jan 6, 2020 · I am trying to figure out if Chebyshev polynomials are preferred over Legendre polynomials in function approximation. I read on several sources that Chebyshev Polynomials yield a …

  10. 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 …