Density in Approximation Theory

Details Density in Approximation Theory Density in Approximation Theory

2005-01-20

arxiv.org/abs/math/0501328v1

Surveys in Approximation Theory, 1 (2005), 1-45

Mathematics

Classical Analysis and ODEs

Scientific paper

Approximation theory is concerned with the ability to approximate functions by simpler and more easily calculated functions. The first question we ask in approximation theory concerns the {\it possibility of approximation}. Is the given family of functions from which we plan to approximate dense in the set of functions we wish to approximate? In this work we survey some of the main density results and density methods.

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