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^φ(R^N_+). Here BV^φ(R^N_+) denotes the space of functions with bounded φ-variation on R^N , defined by means of a concept of multidimensional φ-variation in the sense of Tonelli.
Convergence and rate of approximation in BV^φ(R^N_+) for a class of Mellin integral operators
ANGELONI, Laura;VINTI, Gianluca
2014
Abstract
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^φ(R^N_+). Here BV^φ(R^N_+) denotes the space of functions with bounded φ-variation on R^N , defined by means of a concept of multidimensional φ-variation in the sense of Tonelli.File in questo prodotto:
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