Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators
Summary: 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 \(BV^{\phi}(\mathbb R^N_+)\). Here \(BV^{\phi}(\mathbb R^N_+)\) denotes the space of functions with bounded \(\phi\)-variation on \(\mathbb R^N_+\), defined by means of a concept of multidimensional \(\phi\)-variation in the sense of Tonelli.
scientific article; zbMATH DE number 6363535
scientific article