File:Jacobi lebesgue.svg

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Summary[edit]

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 ${\displaystyle \alpha =-0.5}$.

Licensing[edit]

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. If this is not legally possible: I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law. PD Public domain false false

Gregvw 14:38, 5 May 2007 (UTC)

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