Linear Subspace;
Interpolation Problem;
Lagrange Interpolation;
Simple Point;
Hermite Interpolation;
D O I:
10.1023/A:1018933622590
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper we characterize sets of solvability of Hermite multivariate interpolation problems with the sum of multiplicities less than or equal to 2n+1, where n is the degree of the polynomial space. This can be viewed as a natural generalization of a well-known result of Severi (1921).
机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Meng, Zhaoliang
Luo, Zhongxuan
论文数: 0引用数: 0
h-index: 0
机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Dalian Univ Technol, Sch Software, Dalian 116620, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
机构:
Univ Roma La Sapienza, Dipartimento Matemat, Ist G Castelnuovo, I-00185 Rome, Italy
CNR, Ist Applicaz Calcolo Mauro Picone, Sez Napoli, I-80131 Naples, ItalyUniv Roma La Sapienza, Dipartimento Matemat, Ist G Castelnuovo, I-00185 Rome, Italy
Della Vecchia, Biancamaria
Mastroianni, Giuseppe
论文数: 0引用数: 0
h-index: 0
机构:
Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, ItalyUniv Roma La Sapienza, Dipartimento Matemat, Ist G Castelnuovo, I-00185 Rome, Italy
Mastroianni, Giuseppe
Szili, Laszlo
论文数: 0引用数: 0
h-index: 0
机构:
Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, HungaryUniv Roma La Sapienza, Dipartimento Matemat, Ist G Castelnuovo, I-00185 Rome, Italy
Szili, Laszlo
Vertesi, Peter
论文数: 0引用数: 0
h-index: 0
机构:
Hungarian Acad Sci, Alfred Renyi Math Inst, H-1053 Budapest, HungaryUniv Roma La Sapienza, Dipartimento Matemat, Ist G Castelnuovo, I-00185 Rome, Italy