Quantitative estimates for sampling type operators with respect to the Jordan variation

被引：6

作者：

Angeloni, Laura ^{[1
]}

Costarelli, Danilo ^{[1
]}

Vinti, Gianluca ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2020年 / 31卷 / 02期

关键词：

Sampling Kantorovich series; generalized sampling series; Jordan's variation; modulus of smoothness; averaged-type kernel; singular integral; INTEGRAL-OPERATORS; SPLINE FUNCTIONS; APPROXIMATION; CONVERGENCE;

D O I：

10.4171/RLM/890

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the order of approximation with respect to the Jordan variation for the generalized and the Kantorovich sampling series, based upon averaged type kernels. In particular, we establish some quantitative estimates for the above operators. For the latter purpose, we introduce a suitable modulus of smoothness in the space of absolutely continuous functions on the whole real line.

引用

页码：269 / 284

页数：16

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