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Title: Characterizing quasiconvex functions in terms of the Kronrod's tree of a function

As an application of Kronrod's construction of the tree of a function to convex analysis, a characterization of quasiconvex functions is obtained. Namely, a function is quasiconvex if and only if the associated function defined on the tree of the original function is quasiconvex. A new proof of one of the existence lemmas in Kronrod's construction of the tree of a function (the original proof of which turned out to be incorrect) is given. Bibliography: 4 titles. (paper)
Authors:
Publication Date:
OSTI Identifier:
22365110
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 6; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS