Convergence and rate of approximation in BVφ (R+N) for a class of Mellin integral operators

被引：25

作者：

Angeloni, Laura ^{[1
]}

Vinti, Gianluca ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2014年 / 25卷 / 03期

关键词：

Mellin integral operators; multidimensional phi-variation; rate of approximation; Lipschitz classes; phi-modulus of smoothness; RESPECT; SPACES;

D O I：

10.4171/RLM/675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study convergence results and rate of approximation for a family of linear integral operators of Mellin type in the frame of BV phi (R-+(N)) Here BV phi (R-+(N)) denotes the space of functions with bound phi-variation on R-+(N) defined by means of a concept of multidimensional phi-variation in the sense of Tonelli.

引用

页码：217 / 232

页数：16

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