Asymptotic Formulae for Multivariate Kantorovich Type Generalized Sampling Series  

作　　者：Carlo BARDARO Ilaria MANTELLINI 

机构地区：[1]Dipartimento di Matematica e Informatica, Universitd di Perugia, Via Vanvitelli 1, 06123, Perugia, Italy

出　　处：《Acta Mathematica Sinica,English Series》2011年第7期1247-1258,共12页数学学报（英文版）

摘　　要：In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling series is given. Moreover a quantitative version in terms of some moduli of smoothness is established. Finally some particular examples of kernels are discussed, as the Bochner-Riesz kernel and the multivariate splines.In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling series is given. Moreover a quantitative version in terms of some moduli of smoothness is established. Finally some particular examples of kernels are discussed, as the Bochner-Riesz kernel and the multivariate splines.

关 键 词：Voronovskaja-type formula MOMENTS multivariate Kantorovich generalized sampling series Peetre K-functional 

分 类 号：O156.4[理学—数学] O174.41[理学—基础数学]