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math.FA2026
A Continuous digit projector from binary representations of numbers onto -representation
O. O. Nikorak, S. P. Ratushniak
As is known, the -continued representation of numbers is not topologically equivalent to the classical binary representation; therefore, the digit projector of such representa…
math.NT2026★ 1 cited
One continuum class of fractal functions defined in terms of -representation
V. V. Nazarchuk, S. O. Vaskevych, S. P. Ratushniak
In the paper we study a class of multiparameter functions defined in terms of a polybasic -adic -representation of numbers by \begin{equation*} f_a\bigl(x=Δ^{Q^{*…