Finite $A_2$-continued fractions in the problems of rational approximations of real numbers:

UDC 511.7+517.5 We consider finite continued fractions whose elements are numbers  $\dfrac{1}{2}$ and $1$ (the so-called $A_2$-continued fractions): $1/a_1+1/a_2+\ldots+1/a_n=[0;a_1,a_2,\ldots,a_n],$ $a_i\in A_2=\left\{\dfrac{1}{2},1\right\}.$ We study the stru...

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Bibliographic Details
Date:2023
Main Authors: Pratsiovytyi, M., Goncharenko, Ya., Lysenko, I., Ratushniak, S., Працьовитий, Микола, Гончаренко, Яніна, Лисенко, Ірина, Ратушняк, Софія
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7413
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal