On families of quadrature formulas based on Euler identities
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摘要
A family consisting of quadrature formulas which are exact for all polynomials of order ⩽5 is studied. Changing the coefficients, a second family of quadrature formulas, with the degree of exactness higher than that of the formulas from the first family, is produced. These formulas contain values of the first derivative at the end points of the interval and are sometimes called “corrected”.
论文关键词：Closed 5-point quadrature formulas,Corrected quadrature formulas,Lobatto formulas,Gauss formulas,Bernoulli polynomials,Extended Euler formulas,Sharp estimates of error
论文评审过程：Available online 5 November 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.11.002
