Characterizing quasiconvex functions in terms of the Kronrod's tree of a function (Q2921154)
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scientific article; zbMATH DE number 6349851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizing quasiconvex functions in terms of the Kronrod's tree of a function |
scientific article; zbMATH DE number 6349851 |
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Characterizing quasiconvex functions in terms of the Kronrod's tree of a function (English)
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30 September 2014
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Kronrod's tree of a function
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quasiconvex functions
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This short note is dedicated to proving two results concerning Kronrod's construction of the tree of a function. The first of them says that a continuous function defined on the unit Euclidean cube is quasiconvex if and only if the associated function defined on the tree of the original function is quasiconvex. The second one is one of the existence lemmas in Kronrod's construction of the tree of a function whose original proof turned out to be incorrect.
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