Weighted quadrature rules via Grüss type inequalities for weighted Lp spaces
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摘要
New estimates of Grüss type for weighted Čebyšev functional in weighted Lp spaces are presented by using the Sonin’s identity. These results are applied to obtain new Ostrowski type inequalities and further to weighted numerical rules for functions whose derivative belongs to weighted Lp spaces.
论文关键词：Sonin’s identity,Čebyšev functional,Grüss inequality,Numerical quadrature rule
论文评审过程：Received 5 May 2013, Revised 30 March 2015, Accepted 1 April 2015, Available online 14 May 2015, Version of Record 14 May 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.04.005
