Chebyshev-type quadrature for Jacobi weight functions

A Chebyshev-type quadrature formula is an integration formula with equal coefficients. We denote by Nn(w) the minimal number of nodes for which a Chebyshev-type formula for the weight function w exists having degree of exactness n. The asymptotic behavior of Nn(w) is determined for Jacobi weight functions with nonnegative parameters. Also some numerical results are given.