A Chebyshev-type quadrature for a given weight function is a quadrature formula with equal weights. In this work, 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. This extends a long line of research on Chebyshev-type quadratures starting with the 1937 work of Bernstein.
Bibliographical noteFunding Information:
Ron Peled: Supported by an ISF grant and an IRG grant.
© 2016, Springer Science+Business Media New York.
- Chebyshev-type quadrature formula
- Doubling weights
- Equal weight quadrature