Bounds for the Chebyshev functional and applications to the weighted integral formulae
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摘要
The aim of this paper is to provide some error estimates for the general weighted n-point quadrature formulae by using some inequalities for the Chebyshev functional. The above results are applied to obtain some new bounds for the Gauss–Chebyshev formulae of the first and the second kind.
论文关键词：Chebyshev functional,Grüss inequality,Weighted quadrature formulae,Gauss–Chebyshev formulae
论文评审过程：Received 26 November 2014, Revised 22 April 2015, Accepted 5 July 2015, Available online 23 July 2015, Version of Record 23 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.07.004
