Convexity Conditions and Intersections with Smooth Functions

DOI10.2307/2000257zbMath0601.26007OpenAlexW4239176014MaRDI QIDQ3735981

Miklós Laczkovich, S. J. Agronsky, David Preiss, Andrew M. Bruckner

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000257

zbMATH Keywords

monotonicitysmooth functionsconvexity conditions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items

Differentiable Restrictions of Real Functions, Functions continuous on twice differentiable curves, discontinuous on large sets, Monotone and convex restrictions of continuous functions, Sets of convexity of continuous functions, Crinkled Functions and Intersections with Polynomials, Differentiability versus continuity: Restriction and extension theorems and monstrous examples, Ramsey type theorems for real functions

Cites Work

• Unnamed Item
• Unnamed Item
• Differentiable restrictions of continuous functions
• Combinatorial set theory
• On level sets of a continuous nowhere monotone function
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Sur les fonctions continues relativement monotones
• Sur l'ensemble des points singuliers d'une fonction d'une variable réelle admettant les dérivées de tous les ordres
• On The Roots of Equation f(x) = ξ Where f(x) is Real and Continuous in (a, b) but Monotonic in no Subinterval of (a, b)