Chebyshev-type Quadratures for Doubling Weights
A Chebyshev-type quadrature for a given weight function is a quadrature formula
with equal weights. We show that a method presented by Kane may be used to determine
the order of magnitude of the minimal number of nodes required in Chebyshev-type
quadratures for doubling weight functions, extending a long line of research on
Chebyshev-type quadratures starting with the 1937 work of Bernstein.
Joint work with Ron Peled.