On the stability of \(t\)-convex functions

DOI10.1007/s00010-007-2880-zzbMath1130.26006OpenAlexW2037026839MaRDI QIDQ2474085

Attila Házy

Publication date: 5 March 2008

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-007-2880-z

zbMATH Keywords

convexityBernstein-Doetsch theoremapproximately convexity

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (9)

Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities ⋮ A new proof of the approximate convexity of the Takagi function ⋮ Korovkin type theorems and approximate Hermite-Hadamard inequalities ⋮ Strengthening of strong and approximate convexity ⋮ On a certain stability of the Hermite–Hadamard inequality ⋮ Approximate convexity of Takagi type functions ⋮ On approximately convex Takagi type functions

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