Zhang, Yunong; He, Liangyu; Jin, Long; Qu, Lu; Liu, Jinrong Proposing and verification of a group of 1-node-extrapolated numerical integration formulas. (Chinese. English summary) Zbl 1289.65034 Math. Pract. Theory 43, No. 8, 204-209 (2013). Summary: The Lagrange polynomial is used to approximate the unknown target function based on equally-based discrete-time sampling data. In order to calculate the integration of the interval including an extrapolated node, a group of 1-node-extrapolated numerical integration formulas are proposed, which are capable of predicting the future information. Numerical results show the efficacy of the formulas, that is, the prediction results show high accuracies. MSC: 65D30 Numerical integration Keywords:prediction; Lagrange polynomial; 1-node-extrapolation; numerical integration formulas; numerical results PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Pract. Theory 43, No. 8, 204--209 (2013; Zbl 1289.65034)