On functions of van der Waerden type

Let $\omega(t)$ be an arbitrary modulus of continuity type function, such that $\omega(t)/t\to+\infty$, as $t\to+0$. We construct a continuous nowhere-differentiable function $V_\omega(x)$, $x\in[0;1]$, that satisfies the following conditions: 1)  its modulus of continuity satisfies the est...

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Bibliographic Details
Main Authors: Rubinstein, Aleksandr I., Telyakovskii, Dmitrii S.
Format: Article
Language:English
Published: Saratov State University 2023-08-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2023/08/339-347-rubinstein-telyakovskii_0.pdf