File:Jacobi lebesgue.svg

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This plot shows the locations of the zeros of the Jacobi polynomials of order 8 as a function of the Jacobi parameter,${\displaystyle \alpha =-0.5}$, on the left side. On the right is the corresponding Lebesgue constant for the grid. The dashed line indicates the special case ${\displaystyle \alpha =-0.5}$ which gives the Chebyshev polynomials of the first kind. The minimum Lebesgue number occurs very close to ${\displaystyle \alpha =-0.5}$.

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Gregvw 14:38, 5 May 2007 (UTC)

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