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Chebyshev-type Quadratures for Doubling Weights

Published 6 Jul 2015 in math.CA and math.NA | (1507.01505v2)

Abstract: 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 produce tight bounds for 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.

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