On some properties of Hamel bases connected with the continuity of polynomial functions

DOI10.1007/BF02192659zbMath0546.39002OpenAlexW2023719900MaRDI QIDQ798538

Zbigniew Gajda

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/137012

zbMATH Keywords

symmetric functionpolynomialHamel basisadditive functionsanalytic set

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real polynomials: analytic properties, etc. (26C05) Functional equations and inequalities (39B99)

Related Items (2)

Basic sets for some basic functional equations ⋮ On quadratic functionals and some properties of Hamel bases

Cites Work

• Unnamed Item
• A General Functional Equation
• On some properties of polynomial functions
• Convex functions of higher orders in Euclidean spaces
• On boundedness and discontinuity of additive functions
• On some properties of Hamel bases
• Measure and other properties of a Hamel basis

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