When Does Unique Local Support Ensure Convexity?

DOI10.2307/2154812zbMath0829.26005OpenAlexW4252881018MaRDI QIDQ4846113

Donald F. Young

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2154812

zbMATH Keywords

convexityreal-valued functionlocal supportsupporting line

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

• Unnamed Item
• Monotonicity, Convexity and Symmetric Derivates
• Local Conditions for Convexity and Upward Concavity

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