THIERRY BLUUnser, MichaelMichaelUnser2024-03-082024-03-081997-12-01https://scholars.lib.ntu.edu.tw/handle/123456789/640708Our goal in this paper is to set a theoretical basis for the comparison of re-sampling and interpolation methods. We consider the general problem of the approximation of an arbitrary continuously-defined function f(x) - not necessarily bandlimited - when we vary the sampling step T. We present an accurate L2 computation of the induced approximation error as a function of T for a general class of linear approximation operators including interpolation and other kinds of projectors. This new quantitative result provides exact expressions for the asymptotic development of the error as T→0, and also sharp (asymptotically exact) upper bounds.conference paper2-s2.0-0031354221https://api.elsevier.com/content/abstract/scopus_id/0031354221