%0 Journal Article
%T Convergence and rate of approximation in $BV^{\varphi}(\mathbb{R}^N_+)$ for a class of Mellin integral operators
%A Laura Angeloni
%A Gianluca Vinti
%J Mathematics
%D 2014
%I arXiv
%X 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 $BV^{\varphi}(\mathbb{R}^N_+)$. Here $BV^{\varphi}(\mathbb{R}^N_+)$ denotes the space of functions with bounded $\varphi-$variation on $\mathbb{R}^N_+$, defined by means of a concept of multidimensional $\varphi-$variation in the sense of Tonelli.
%U http://arxiv.org/abs/1408.6168v1