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Mean Convergence of Lagrnage Type Interpolation on an Arbitrary System of Nodes
Authors:Ying-guang Shi
Institution:(1) Department of Mathematics, Hunan Normal University, Changsha 410081, China & Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: syg@lsec.cc.ac.cn), CN
Abstract:Abstract   Sufficient conditions of convergence and rate of convergence for Lagrange type interpolation in the weighted L p norm on an arbitrary system of nodes are given. Supported by the National Natural Sciences Foundation of China (No.19671082)
Keywords:Lagrange type interpolation  convergence  rate of convergence
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