Lebesgue constants of Gaussian cardinal interpolation operators from l (ℤ) into L (ℝ) |
| |
| Authors: | Cao Hui Liu Yongping |
| |
| Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China;(2) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
| |
| Abstract: | Summary In recent years, with the attention to the radial-basis function by mathematicians, more and more research is concentrated
on the Gaussian cardinal interpolation. The main purpose of this paper is to discuss the asymptotic behavior of Lebesgue constants
of the Gaussian cardinal interpolation operator ℒλ from l (ℤ) into L (ℝ), that is, ∥ℒλ∥1. We obtain the strong asymptotic estimate of the Lebesgue constants which improves the results of Riemenschneider and Sivakumar
in 11]. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
