Moduli of continuity and absolute continuity: any relation?

DOI10.1007/s00025-025-02353-1MaRDI QIDQ6667730

Matteo Muratori, Jacopo Somaglia

Publication date: 20 January 2025

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityCantor functionabsolute continuity

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Monotonic functions, generalizations (26A48) Absolutely continuous real functions in one variable (26A46)

Cites Work

• Modulus of continuity of piecewise analytic functions
• On variation functions and their moduli of continuity
• The Cantor function
• The standard Cantor function is subadditive

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