| A Class of Multivariate Hermite Interpolation of Total Degree |
| Received:January 12, 2017 Revised:March 15, 2017 |
| Key Words:
multivariate Hermite interpolation regularity total degree
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11301053; 61432003). |
| Author Name | Affiliation | | 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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