File:Jacobi lebesgue.svg

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

Licensing
Gregvw 14:38, 5 May 2007 (UTC)