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Journal Nonlinear World №3 for 2015 г.
Article in number:
Limit of r/φ-characteristics of the Weierstrass functions
Keywords: Weierstrass function non-differentiable functions divergent continued fraction r/&#966 -algorithm r/&#966 -features
Authors:
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
Abstract:
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.
Pages: 39-52
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