Uniform approximation with linear combinations of reproducing kernels
Studia Mathematica, Tome 121 (1996) no. 2, pp. 105-114
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_sm_121_2_105_114,
author = {Jan Mycielski and Stanis{\l}aw \'Swierczkowski},
title = {Uniform approximation with linear combinations of reproducing kernels},
journal = {Studia Mathematica},
pages = {105--114},
year = {1996},
volume = {121},
number = {2},
doi = {10.4064/sm-121-2-105-114},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-121-2-105-114/}
}
TY - JOUR AU - Jan Mycielski AU - Stanisław Świerczkowski TI - Uniform approximation with linear combinations of reproducing kernels JO - Studia Mathematica PY - 1996 SP - 105 EP - 114 VL - 121 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-121-2-105-114/ DO - 10.4064/sm-121-2-105-114 LA - en ID - 10_4064_sm_121_2_105_114 ER -
%0 Journal Article %A Jan Mycielski %A Stanisław Świerczkowski %T Uniform approximation with linear combinations of reproducing kernels %J Studia Mathematica %D 1996 %P 105-114 %V 121 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/sm-121-2-105-114/ %R 10.4064/sm-121-2-105-114 %G en %F 10_4064_sm_121_2_105_114
Jan Mycielski; Stanisław Świerczkowski. Uniform approximation with linear combinations of reproducing kernels. Studia Mathematica, Tome 121 (1996) no. 2, pp. 105-114. doi: 10.4064/sm-121-2-105-114
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