We give some Voronovskaja formula for linear combinations of generalized sampling operators and we furnish also a quantitative version in terms of the classical Peetre -functional. This provides a better order of approximation in the asymptotic formula. We apply the general theory to various kernels: Bochner-Riesz kernel, translates of B-splines and Jackson type kernel.
Cite this article
Carlo Bardaro, Ilaria Mantellini, Asymptotic Formulae for Linear Combinations of Generalized Sampling Operators. Z. Anal. Anwend. 32 (2013), no. 3, pp. 279–298DOI 10.4171/ZAA/1485