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{bwmeta1.element.bwnjournal-article-smv102i2p175bwm,
author = {Jo\~ao Prolla},
title = {Approximation of continuous convex-cone-valued functions by monotone operators},
journal = {Studia Mathematica},
volume = {103},
year = {1992},
pages = {175-192},
zbl = {0810.41024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i2p175bwm}
}
Prolla, João. Approximation of continuous convex-cone-valued functions by monotone operators. Studia Mathematica, Tome 103 (1992) pp. 175-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i2p175bwm/
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