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Self-Affine Singular and Nowhere Monotone Functions Related to the Q-Representation of Real Numbers

We study functional, differential, integral, self-affine, and fractal properties of continuous functions belonging to a finite-parameter family of functions with a continuum set of "peculiarities". Almost all functions of this family are singular (their derivative is equal to zero...

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Bibliographic Details
Date:	2013
Main Authors:	Kalashnikov, A. V., Pratsiovytyi, M. V., Калашніков, А. В., Працьовитий, М. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2427
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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