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oai:recercat.cat:2072/4666252024-11-04T05:22:10Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Martín i Pedret, Joaquim author Milman, Mario author 2001 In the present paper we explore an approximation theoretic approach to some classical convergence theorems of real analysis. The background of this paper is the intuition that some of the usual compactness theorems on various modes of convergence in classical analysis are based on suitable ways of obtaining good decompositions of functions to exploit rates of approximation, cancellations, or appropriate control of sizes that can be controlled by the basic functionals of real interpolation. http://hdl.handle.net/2072/466625 Modes of convergence : Interpolation Methods I