Hyperinterpolation on the sphere at the minimal projection order

JOURNAL OF APPROXIMATION THEORY

卷:104

Article

Reimer, M

关键词: hyperinterpolation;    minimal projection;    sphere covering by caps;   

DOI  :  10.1006/jath.2000.3454

来源: Elsevier

【 摘 要 】

We investigate hyperinterpolation operators based on positive weighted quadrature rules, as introduced by Ian H. Sloan. If the rules are exact of double degree then, independently of the number of their nodes, the operator norms increase; at the order of the minimal projections. (C) 2000 Academic Press.

【 授权许可】

Free