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Limit of r/φ-characteristics of the Weierstrass functions

Keywords:

M.V. Khisamutdinov – Ph.D. (Eng.), Research Scientist, Kalyaev Scientific Research Institute of Multiprocessor Computer Systems, Southern Federal University (Taganrog). E-mail: L-V-P@yandex.ru V.I. Shmoylov – Research Scientist, Southern Scientific Center of Russian Academy of Sciences (SSC RAS) (Taganrog). E-mail: Shmoylov40@at.infotectt.ru


The paper discusses an approach to the study of non-differentiable functions, the basic ideas of which are associated with r/φ-algorithm proposed for the summation of divergent continued fractions. Injected «interval» and «limit» r/φ-characteristics of the Weierstrass func-tions, and provides examples of their calculation.
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