Geodesic
Interval-Decomposability of Continuous Functions, and Convexity
Journal of convex analysis, Tome 27 (2020) no. 1, pp. 31-48
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A generalization of the notion of a decomposable set of functions is offered. It applies, in particular, to continuous functions which are not differentiable. Following the classical analysis of decomposable families of integrable functions, it is shown that many convex analysis features hold also in the general framework.
Classification : 28B20, 54C60
Mots-clés : Interval-decomposable sets, decomposed hull, attainable set 
@article{JCA_2020_27_1_JCA_2020_27_1_a3,
     author = {Z. Artstein},
     title = {Interval-Decomposability of {Continuous} {Functions,} and {Convexity}},
     journal = {Journal of convex analysis},
     pages = {31--48},
     year = {2020},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a3/}
}
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Z. Artstein. Interval-Decomposability of Continuous Functions, and Convexity. Journal of convex analysis, Tome 27 (2020) no. 1, pp. 31-48. http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a3/