Tractability of quasilinear problems I: General results

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Tractability of quasilinear problems I: General results

The tractability of multivariate problems has usually been studied only for the approximation of linear operators. In this paper we study the tractability of quasilinear multivariate problems. That is, we wish to approximate nonlinear operators Sd(·, ·) that depend linearly on the first argument and satisfy a Lipschitz condition with respect to both arguments. Here, both arguments are functions...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2007

ISSN: 0021-9045

DOI: 10.1016/j.jat.2006.09.005