Characterization of general convex functions and its applications (Q2724031)

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scientific article; zbMATH DE number 1615351
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Characterization of general convex functions and its applications
scientific article; zbMATH DE number 1615351

    Statements

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    8 July 2001
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    convex functions
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    quasi-convex functions
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    general convex functions
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    extremal problems
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    general level sets
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    characterization of general convexity
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    Characterization of general convex functions and its applications (English)
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    In this paper the author continues the study of the general convex functions, which are introduced in his previous paper [Math. Jap. 37, No. 2, 367-372 (1992; Zbl 0777.46004)]. This paper presents a new characterization of general convex functions in terms of general level sets. Applications in convex analysis are considered.
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