In this paper, the author introduces certain modided integral rational interpolations which are generallzation of T. Herman and P.Vertesi's rational interpolation operators and study their degre of approximation i...In this paper, the author introduces certain modided integral rational interpolations which are generallzation of T. Herman and P.Vertesi's rational interpolation operators and study their degre of approximation in L^pw with w(x)=(1-x^2)^(-1/2) spaces.展开更多
The 'o' saturation theorem and the degree of Lwp, approximation by (0 - q' - q) type Hermite-Fejer interpolating polynomials for mean convergence are obtained.
A sequence of spherical zonal translation networks based on the Bochner-Riesz means of spherical harmonics and the Riesz means of Jacobi polynomials is introduced, and its degree of approximation is achieved. The resu...A sequence of spherical zonal translation networks based on the Bochner-Riesz means of spherical harmonics and the Riesz means of Jacobi polynomials is introduced, and its degree of approximation is achieved. The results obtained in the present paper actually imply that the approximation of zonal translation networks is convergent if the action functions have certain smoothness.展开更多
文摘In this paper, the author introduces certain modided integral rational interpolations which are generallzation of T. Herman and P.Vertesi's rational interpolation operators and study their degre of approximation in L^pw with w(x)=(1-x^2)^(-1/2) spaces.
基金This work is supported by the Doctor Foundation (No:02.T20102-06) and the Post Doctor Foundation of Ningbo University.
文摘The 'o' saturation theorem and the degree of Lwp, approximation by (0 - q' - q) type Hermite-Fejer interpolating polynomials for mean convergence are obtained.
基金This research is supported (in part) by the National Natural Science Foundation of China (No. 10471130, 10371024) of China the Natural Science Foundation (Y640003) of Zhejiang Province and the Doctor Foundation (2004A620017) of Ningbo city.
文摘A sequence of spherical zonal translation networks based on the Bochner-Riesz means of spherical harmonics and the Riesz means of Jacobi polynomials is introduced, and its degree of approximation is achieved. The results obtained in the present paper actually imply that the approximation of zonal translation networks is convergent if the action functions have certain smoothness.
