Optimal quadrature formulas with positive coefficients in L2(m)(0,1) space

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摘要

In the Sobolev space L2(m)(0,1) optimal quadrature formulas of the form ∫01φ(x)dx≅∑β=0NCβφ(xβ) with the nodes xi=ηih,xN−i=1−ηih,i=0,t−1¯,0≤η0<η1<⋯<ηt−1

论文关键词:65D32,Sobolev space,Optimal quadrature formula,Positive coefficients,Error functional

论文评审过程:Received 16 November 2009, Revised 22 July 2010, Available online 25 July 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.07.021