Konu "Sierpinski Gasket" için Makale Koleksiyonu listeleme
Toplam kayıt 7, listelenen: 1-7
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Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
(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 ... -
An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
(Scientific Technical Research Council Turkey-Tubitak, 2018)The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature ... -
Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket
(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 ... -
Fractal interpolation on the Sierpinski Gasket
(Academic Press Inc Elsevier Science, 2008)We prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of Barnsley. Let V-0 = [p(1), p(2), p(3)) be the set of vertices of SG and u(i) (x) = 1/2 (x + p(i)) the three contractions of the ... -
Geodesics of the Sierpinski Gasket
(World Scientific Publ Co Pte LTD, 2018)In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different ... -
Intrinsic Metrics on Sierpinski-Like Triangles and Their Geometric Properties
(MDPI, 2018)The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals. Sierpinski-like triangles can also be constructed on isosceles or scalene triangles. An explicit formula for the intrinsic ... -
Some Interesting Code Sets of the Sierpinski Triangle Equipped with the Intrinsic Metric
(Centre Environment Social & Economic Research Publ-Ceser, 2018)Many different characteristics of the Sierpinski triangle, which is one of the most popular examples of fractals, have been the subject of research for various studies in the recent years. To define the intrinsic metric ...