Abstract

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.

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Keywords

  • Interval-decomposable sets
  • decomposed hull
  • attainable set

Mathematics Subject Classification

28B20, 54C60

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Suggested citation

Z. Artstein. “Interval-Decomposability of Continuous Functions, and Convexity.” Journal of Convex Analysis 27 (2020), No. 1, 31–48. https://doi.org/10.68381/jca27003

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Published by Heldermann Verlag, 2020. Rights now held by Banach Press LLC.