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.
@article{bwmeta1.element.bwnjournal-article-smv121i2p105bwm,
author = {Jan Mycielski and Stanis\l aw \'Swierczkowski},
title = {Uniform approximation with linear combinations of reproducing kernels},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {105-114},
zbl = {0864.41028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv121i2p105bwm}
}
Mycielski, Jan; Świerczkowski, Stanisław. Uniform approximation with linear combinations of reproducing kernels. Studia Mathematica, Tome 119 (1996) pp. 105-114. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv121i2p105bwm/
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