Global extrema of the Delange function, bounds for digital sums and concave functions

DOI10.1070/SM9143zbMath1440.26005OpenAlexW2996670141MaRDI QIDQ5112433

O. E. Galkin, S. Yu. Galkina

Publication date: 29 May 2020

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

Full work available at URL: https://doi.org/10.1070/sm9143

zbMATH Keywords

continuous nowhere differentiable Delange functionextreme subarguments (subabscissas) of functionsglobal extrema of non-differentiable functionsnatural concave hull of functionsTrollope-Delange formula for digital sums

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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Cites Work

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• Global extrema of the Gray Takagi function of Kobayashi and binary digital sums
• An Explicit Expression for Binary Digital Sums

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