On some class of midconvex functions

DOI10.4064/ap-50-2-145-151zbMath0706.39004OpenAlexW975017257MaRDI QIDQ3487929

Kazimierz Nikodem

Publication date: 1989

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-50-2-145-151

zbMATH Keywords

additiveconvexBaire propertySchur-convexdense graphsquasiconvexmidpoint-convexaffine, continuous, bounded functionsapproximately midpoint-convexconvex, open, compact setspositive inner measure

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Convexity of real functions in one variable, generalizations (26A51) Systems of functional equations and inequalities (39B72)

Related Items (13)

Decomposition of higher-order Wright-convex functions ⋮ Remarks on Wright-convex functions ⋮ On the classes of higher-order Jensen-convex functions and Wright-convex functions ⋮ A characterization of convex function ⋮ Functions generating \((m,M,\Psi)\)-Schur-convex sums ⋮ Between quasi-convex and convex set-valued mappings. ⋮ Unnamed Item ⋮ On properties of preinvex functions ⋮ Representation theorems for \(h\)-convexity ⋮ An elementary proof for the decomposition theorem of Wright convex functions ⋮ Representation theorems for \(t\)-wright convexity ⋮ On Strongly Convex Functions and Related Classes of Functions ⋮ Decomposition of higher-order wright convex functions revisited

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