A Class of Multivariate Hermite Interpolation of Total Degree
Received:January 12, 2017  Revised:March 15, 2017
Key Word: multivariate Hermite interpolation   regularity   total degree  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11301053; 61432003).
Author NameAffiliation
Zhongyong HU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; School of Mathematics and Statistics, Taishan College, Shandong 271021, P. R. China 
Zhaoliang MENG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Zhongxuan LUO School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; School of Software, Dalian University of Technology, Liaoning 116620, P. R. China 
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Abstract:
      In this paper we study a class of multivariate Hermite interpolation problem on $2^d$ nodes with dimension $d\geq 2$ which can be seen as a generalization of two classical Hermite interpolation problems of $d=2$. Two combinatorial identities are firstly given and then the regularity of the proposed interpolation problem is proved.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.03.012
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