典型文献
The Discrete Approximation Problem for a Special Case of Hermite-Type Polynomial Interpolation
文献摘要：
Every univariate Hermite interpolation problem can be written as a pointwise limit of Lagrange interpolants.However,this property is not preserved for the multivariate case.In this paper,the authors first generalize the result of P.Gniadek.As an application,the authors consider the discrete approximation problem for a special case when the interpolation condition contains all partial derivatives of order less than n and one nth order differential polynomial.In addition,for the case of n≥3,the authors use the concept of Cartesian tensors to give a sufficient condition to find a sequence of discrete points,such that the Lagrange interpolation problems at these points converge to the given Hermite-type interpolant.
文献关键词：
中图分类号：
作者姓名：
GONG Yihe;JIANG Xue;ZHANG Shugong
作者机构：
College of Science,Northeast Electric Power University,Jilin 132000,China;School of Mathematics and Systematic Sciences,Shenyang Normal University,Shenyang 110034,China;Institute of Mathematics,Key Lab.of Symbolic Computation and Knowledge Engineering(Ministry of Education),Jilin University,Changchun 130012,China
文献出处：
引用格式：
[1]GONG Yihe;JIANG Xue;ZHANG Shugong-.The Discrete Approximation Problem for a Special Case of Hermite-Type Polynomial Interpolation)[J].系统科学与复杂性学报（英文版）,2022(05):2004-2015
A类：
interpolants,Gniadek,interpolant
B类：
Discrete,Approximation,Problem,Special,Case,Hermite,Type,Polynomial,Interpolation,Every,univariate,interpolation,can,be,written,pointwise,limit,Lagrange,However,this,property,not,preserved,multivariate,case,paper,authors,first,generalize,result,application,consider,discrete,approximation,special,when,condition,contains,all,partial,derivatives,order,less,than,one,nth,differential,polynomial,addition,use,concept,Cartesian,tensors,sufficient,find,sequence,points,such,that,problems,these,converge,given,type
AB值：
0.627152
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