An Estimation of the Truncation Error for the Two-Channel Sampling Formulas |
| |
| Authors: | AG García MA Hernández-Medina A Portal |
| |
| Institution: | (1) Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés-Madrid, Spain;(2) Departamento de Matemática Aplicada, E.T.S.I.T., U.P.M., Avda. Complutense s/n , 28040 Madrid, Spain;(3) Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés-Madrid, Spain |
| |
| Abstract: | The aim of the article is to obtain an estimation for the truncation error in the
two-channel sampling formulas. Since these formulas are expansions with respect to suitable
Riesz bases in Paley-Wiener spaces, the truncation error will be estimated by using the hypercircle
inequality in the Riesz bases setting. In so doing, the norm of an involved operator is calculated,
and the remainder of the series of the absolute square sampling functions is estimated. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
