Rational Function Operators from Poisson Integrals
Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 872-878
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In this paper, we construct two classes of rational function operators using the Poisson integrals of the function on the whole real axis. The convergence rates of the uniform and mean approximation of such rational function operators on the whole real axis are studied.
Mots-clés :
41A20, 41A205, 41A35, rational function operators, Poisson integrals, convergence rate, uniform approximation, mean approximation
Xu, Xu; Zhu, Laiyi. Rational Function Operators from Poisson Integrals. Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 872-878. doi: 10.4153/CMB-2016-060-0
@article{10_4153_CMB_2016_060_0,
author = {Xu, Xu and Zhu, Laiyi},
title = {Rational {Function} {Operators} from {Poisson} {Integrals}},
journal = {Canadian mathematical bulletin},
pages = {872--878},
year = {2017},
volume = {60},
number = {4},
doi = {10.4153/CMB-2016-060-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-060-0/}
}
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