Problems in the regularity theory of functional equations

DOI10.1007/S00010-002-8001-0zbMath1007.39015OpenAlexW2014281528MaRDI QIDQ1349026

Zsolt Páles

Publication date: 21 May 2002

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

Full work available at URL: https://doi.org/10.1007/s00010-002-8001-0

zbMATH Keywords

convexitylogarithmic meananalytic functionsdifferentiable functionsmeasurable functionscontinuous functionsLipschitz functionsfunctional equations and inequalitiesquasiarithmetic and Cauchy means

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Functional equations for real functions (39B22) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) General theory of functional equations and inequalities (39B05)

Related Items (6)

On the state of the second part of Hilbert's fifth problem ⋮ On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ The general linear equation on open connected sets ⋮ On weighted extensions of Cauchy's means

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