FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 2, PAGES 589-595

Binary self-similar fractal functions

Bl. Kh. Sendov

Abstract

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A new type of fractal functions of one variable is defined, called binary self-similar. By algorithms of Walsh and Haar, from any self-similar function $f$₀, an orthonormal system $f$₀,f₁,f₂, ¼ is build. The definition of binary self-similar function may be generalized for functions of two and three variables.

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Last modified: July 6, 1999