Problems in the regularity theory of functional equations
DOI10.1007/S00010-002-8001-0zbMath1007.39015OpenAlexW2014281528MaRDI QIDQ1349026
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
convexitylogarithmic meananalytic functionsdifferentiable functionsmeasurable functionscontinuous functionsLipschitz functionsfunctional equations and inequalitiesquasiarithmetic and Cauchy means
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)
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