Simultaneous approximations for functions in Sobolev spaces by derivatives of polyharmonic cardinal splines

JOURNAL OF APPROXIMATION THEORY

卷:101

Article

Liu, YP ; Lu, GZ

关键词: polyharmonic spline;    cardinal interpolation;    remainder formula;    approximation;    Sobolev spaces;    order of convergence;    Peano type kernel;   

DOI  :  10.1006/jath.1999.3360

来源: Elsevier

【 摘 要 】

We prove in this paper that functions in Sobolev spaces and their derivatives can be approximated by polyharmonic splines and their derivatives in L-p(R-n) norms. Of particular interest are the remainder formulas of such approximations and the order of convergence by the derivatives of cardinal polyharmonic interpolational splines. (C) 1999 Academic Press.

【 授权许可】

Free