Generalized midconvexity
Jacek Tabor; Józef Tabor; Krzysztof Misztal
Banach Center Publications (2013)
- Volume: 99, Issue: 1, page 207-215
- ISSN: 0137-6934
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topJacek Tabor, Józef Tabor, and Krzysztof Misztal. "Generalized midconvexity." Banach Center Publications 99.1 (2013): 207-215. <http://eudml.org/doc/282507>.
@article{JacekTabor2013,
abstract = {
There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X.
We show that we can define and study the basic convexity properties in this setting.
},
author = {Jacek Tabor, Józef Tabor, Krzysztof Misztal},
journal = {Banach Center Publications},
keywords = {midconvex set; midconvex function; midconvex hull of a set},
language = {eng},
number = {1},
pages = {207-215},
title = {Generalized midconvexity},
url = {http://eudml.org/doc/282507},
volume = {99},
year = {2013},
}
TY - JOUR
AU - Jacek Tabor
AU - Józef Tabor
AU - Krzysztof Misztal
TI - Generalized midconvexity
JO - Banach Center Publications
PY - 2013
VL - 99
IS - 1
SP - 207
EP - 215
AB -
There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X.
We show that we can define and study the basic convexity properties in this setting.
LA - eng
KW - midconvex set; midconvex function; midconvex hull of a set
UR - http://eudml.org/doc/282507
ER -
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