Chebyshev-type Quadratures for Doubling Weights
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🧮 math.CA
math.NA
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chebyshev-typequadraturesdoublingquadratureweightweightsworkbernstein
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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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