Kurum Yazarı "Üreyen, Mehmet" Scopus İndeksli Yayınlar Koleksiyonu İçin Listeleme
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The circle as an attractor of an iterated function system on the plane
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A ... -
Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an explicit derivative computation for the restriction of a harmonic function on SG to segments at specific points of the segments: The derivative is zero at points dividing the segment in ratio 1:3. This shows ... -
Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket
Demir, B; Dzhafarov, V; Koçak, Şahin; Üreyen, Mehmet (World Scientific Publ Co Pte LTD, 2005)We show that the restriction of an eigenfunction of the Laplacian on the Sierpinski Gasket (SG) to any segment inside the SG is monotone on finite pieces, i.e. there is a subdivision of the segment, such that the function ... -
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 role of definition in students' understanding with particular reference to the concavity of a function
Üreyen, Mehmet (2006)In this study, the effect of different definitions of concavity on students' understanding was investigated. Students enrolled in the calculus-II course in the science and engineering faculties in Anadolu University, Turkey ...