Yayıncı "Academic Press Inc Elsevier Science" Matematik Bölümü için listeleme
Toplam kayıt 10, listelenen: 1-10
-
The circle as an attractor of an iterated function system on the plane
(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 ... -
Convex extensions of the convex set valued maps
(Academic Press Inc Elsevier Science, 2006)In this article the existence of the convex extension of convex set valued map is considered. Conditions are obtained, based on the notion of the derivative of set valued maps, which guarantee the existence of convex ... -
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 estimate of the oscillation of harmonic reproducing kernels with applications
(Academic Press Inc Elsevier Science, 2016)We estimate the oscillation of harmonic reproducing kernels. As an application of this estimation we obtain a double integral characterization of harmonic Besov spaces -
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 ... -
A notion of robustness and stability of manifolds
(Academic Press Inc Elsevier Science, 2008)Starting from the notion of thickness of Parks we define a notion of robustness for arbitrary subsets of R-k and we investigate its relationship with the notion of positive reach of Federer. We prove that if a set M is ... -
On differential inclusions with prescribed attainable sets
(Academic Press Inc Elsevier Science, 2003)In this article, the inverse problem of the differential inclusion theory is studied. For a given epsilon > 0 and a continuous set valued map t --> W(t), t is an element of [t(0), theta], where W(t) subset of R-n is compact ... -
On the continuity property of L-P balls and an application
(Academic Press Inc Elsevier Science, 2007)In this paper continuity properties of the set-valued map p -> B-p(mu(0)), p is an element of (1, +infinity), are considered where B-p (mu(0)) is the closed ball of the space L-p ([t(0), theta]; R-m) centered at the origin ... -
Self-similar groups in the sense of an iterated function system and their properties
(Academic Press Inc Elsevier Science, 2013)The notion of self-similarity in the sense of iterated function system (IFS) for compact topological groups is given by S. Kocak in Definition 3. In this work, first we give the definition of strong self-similar group in ... -
Tight span of subsets of the plane with the maximum metric
(Academic Press Inc Elsevier Science, 2016)We prove that a nonempty closed and geodesically convex subset of the l(infinity) plane R-infinity(2) is hyperconvex and we characterize the tight spans of arbitrary subsets of R-infinity(2) via this property: Given any ...