Geodesic
Invariance of quasiconcave functions cone under the action of positive operators
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 23-30

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The conditions of Calderon type operators on concave and quasiconcave functions defined on $R_+$ are investigated. With some additional assumptions we have proved that the cone of quasiconcave functions is an invariant under the aforementioned operators.
Keywords: cone, quasiconcave function, Calderon type operator. 
@article{MAIS_2008_15_4_a2,
     author = {Yu. V. Bondarenko},
     title = {Invariance of quasiconcave functions cone under the action of positive operators},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {23--30},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a2/}
}
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Yu. V. Bondarenko. Invariance of quasiconcave functions cone under the action of positive operators. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 23-30. http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a2/