The standard Cantor function is subadditive

DOI10.1090/S0002-9939-96-03440-5zbMath0861.26004MaRDI QIDQ3837572

Jozef Doboš

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modulus of continuitysubadditive functionsstandard Cantor function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Inequalities for sums, series and integrals (26D15)

Related Items (9)

Stability problems for Cantor stochastic differential equations ⋮ Functions transferring metrics to metrics ⋮ Scaling properties of functionals and existence of constrained minimizers ⋮ The Cantor function ⋮ Nearest-neighbor graphs on the cantor set ⋮ \(p\)-adic metric preserving functions and their analogues ⋮ Daubechies' time-frequency localization operator on Cantor type sets. I ⋮ A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers ⋮ Daubechies' time-frequency localization operator on Cantor type sets II.

Cites Work

• On Subadditive Functions
• Mapping the Cantor Set onto [0, 1]
• Some Cantor Sets and Cantor Functions
• Subadditive functions

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