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Uniform approximation with linear combinations of reproducing kernels

Jan Mycielski, Stanisław Świerczkowski (1996)

Studia Mathematica

We show several theorems on uniform approximation of functions. Each of them is based on the choice of a special reproducing kernel in an appropriate Hilbert space. The theorems have a common generalization whose proof is founded on the idea of the Kaczmarz projection algorithm.

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