Approximation of continuous convex-cone-valued functions by monotone operators
Studia Mathematica, Tome 102 (1992) no. 2, pp. 175-192
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In this paper we study the approximation of continuous functions F, defined on a compact Hausdorff space S, whose values F(t), for each t in S, are convex subsets of a normed space E. Both quantitative estimates (in the Hausdorff semimetric) and Bohman-Korovkin type approximation theorems for sequences of monotone operators are obtained.
@article{10_4064_sm_102_2_175_192,
author = {Jo\~ao B. Prolla},
title = {Approximation of continuous convex-cone-valued functions by monotone operators},
journal = {Studia Mathematica},
pages = {175--192},
publisher = {mathdoc},
volume = {102},
number = {2},
year = {1992},
doi = {10.4064/sm-102-2-175-192},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-102-2-175-192/}
}
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%0 Journal Article %A João B. Prolla %T Approximation of continuous convex-cone-valued functions by monotone operators %J Studia Mathematica %D 1992 %P 175-192 %V 102 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-102-2-175-192/ %R 10.4064/sm-102-2-175-192 %G en %F 10_4064_sm_102_2_175_192
João B. Prolla. Approximation of continuous convex-cone-valued functions by monotone operators. Studia Mathematica, Tome 102 (1992) no. 2, pp. 175-192. doi: 10.4064/sm-102-2-175-192
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