Yazar "Demir, B." için listeleme
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A fractal example of a continuous monotone function with vanishing derivatives on a dense set and infinite derivatives on another dense set
Demir, B.; Dzhafarov, V.; Koçak, Şahin; Üreyen, Mehmet (2006)Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. ... -
The graph of fractal dimensions of Julia sets
Demir, B.; Özdemir, Y.; Saltan, Mustafa (2011)We obtain Julia sets of fe(Z) = z2 + c using modified inverse iteration method for all c in some grid of the square [-2, 2]×[-2, 2] and compute fractal dimensions of them. Then we give the whole picture by drawing the graph ... -
A self-similar group in the sense of iterated function system
Demir, B.; Saltan, Mustafa (2012)In this paper, first we give an iterated function system whose attractor is G m, a subgroup of the automorphism group of an (m + 1) -ary rooted tree. We also show that G m is a self-similar group in the sense of IFS. Then ... -
The snowflake curve as an attractor of an iterated function system
Demir, B.; Özdemir, Y.; Saltan, Mustafa (2013)Although the snowflake curve, the boundary of the Koch snowflake, is one of the well-known fractals, there is no iterated function system (IFS) for it in the literature. In this study, we give an IFS for this familiar closed curve
