The derivative of the Minkowski function

DOI10.1070/IM9039OpenAlexW3094712399MaRDI QIDQ5152203

Unnamed Author, Igor D. Kan

Publication date: 17 September 2021

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

Full work available at URL: https://doi.org/10.1070/im9039

zbMATH Keywords

continued fractionMinkowski functioncontinuant

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions (11A55)

Related Items (2)

Derivative of the Minkowski function for numbers with bounded partial quotients ⋮ On the derivative of the Minkowski question-mark function

Cites Work

• On the derivative of the Minkowski question mark function \(?(x)\)
• Methods for estimating continuants
• A new light on Minkowski's \(?(x)\) function
• Differentiability of the Minkowski question mark function
• Derivatives of two functions belonging to the Denjoy–Tichy–Uits family
• Some Combinatorial Extremum Problems
• Note on a Singular Function of Minkowski
• Differentiability of the Minkowski -function. III
• Differentiability of the Minkowski function . II
• On Some Singular Monotonic Functions Which Are Strictly Increasing
• The derivative of Minkowski's \(?(x)\) function
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