This paper gives a set of linearly independent interpolating functionals and a correspon-ding set of fundamental Lagrange polynomials for the multivariate extension (the liftedmultivariate map) of univariate generaliz...This paper gives a set of linearly independent interpolating functionals and a correspon-ding set of fundamental Lagrange polynomials for the multivariate extension (the liftedmultivariate map) of univariate generalized Hermite interpolation operator.展开更多
In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of to...In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of total degree n.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘This paper gives a set of linearly independent interpolating functionals and a correspon-ding set of fundamental Lagrange polynomials for the multivariate extension (the liftedmultivariate map) of univariate generalized Hermite interpolation operator.
文摘In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of total degree n.
