Chebyshev-Type Quadratures for Doubling Weights

Shoni Gilboa; Ron Peled

doi:10.1007/s00365-016-9360-4

Chebyshev-Type Quadratures for Doubling Weights

Shoni Gilboa, Ron Peled

Mathematics

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English
Pages (from-to)	193-216
Number of pages	24
Journal	Constructive Approximation
Volume	45
Issue number	2
DOIs	https://doi.org/10.1007/s00365-016-9360-4
State	Published - 1 Apr 2017

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media New York.

Keywords

Chebyshev-type quadrature formula
Doubling weights
Equal weight quadrature

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10.1007/s00365-016-9360-4

Cite this

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Chebyshev-Type Quadratures for Doubling Weights

Abstract

Bibliographical note

Keywords

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