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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Saratov State University
2023-08-01
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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 |