Fractal functions of exponential type that is generated by the $\mathbf{Q_2^*}$-representation of argument

Fractal functions of exponential type that is generated by the $\mathbf{Q_2^*}$-representation of argument

We consider function $f$ which is depended on the parameters $0<a\in R$, $q_{0n}\in (0;1)$, $n\in N$ and convergent positive series $v_1+v_2+...+v_n+...$, defined by equality $f(x=\Delta^{Q_2^*}_{\alpha_1\alpha_2...\alpha_n...})=a^{\varphi(x)}$, where $\alpha_n\in \{0,1\}$, $\varphi(x=\Delta^{Q_2...

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Bibliographic Details
Main Authors: M.V. Pratsovytyi, Ya. V. Goncharenko, I. M. Lysenko, S.P. Ratushniak
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-12-01
Series:Математичні Студії
Subjects:
two-symbol q2 -representation of numbers of unit segment; function with fractal properties; si- ngular function; hausdorff-besicovith dimension; a set of incomplete sums of row.
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/275
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