Die Ramanujan-Entwicklung reellwertiger multiplikativer Funktionen vom Betrage kleiner oder gleich Eins.
Discrete approximation of the solution of the Dirichlet problem by discrete means.
Ein einfacher Beweis des Satzes von Borsuk.
Ein Kriterium für die Approximierbarkeit von Funktionen aus Sobolewschen Räumen durch glatte Funktionen.
Estimates of the approximation error using Rademacher complexity: Learning vector-valued functions.
Exactness of the approximation of subharmonic function by the logarithm of the modulus of an analytic function in the Chebyshev metric.
Exponential approximation on the real line
Extension of the best approximation operator in Orlicz spaces and weak-type inequalities.
Fast multilevel evaluation of smooth radial basis function expansions.
Fehlerabschätzungen für Koeffizienten von Exponentialsummen und Polynomen.
Function approximation of Seidel aberrations by a neural network
This paper deals with the possibility of using a feedforward neural network to test the discrepancies between a real astronomical image and a predefined template. This task can be accomplished thanks to the capability of neural networks to solve a nonlinear approximation problem, i.e. to construct an hypersurface that approximates a given set of scattered data couples. Images are encoded associating each of them with some conveniently chosen statistical moments, evaluated along the axes; in this...
Functions of the form in
General Haar systems and greedy approximation
We show that each general Haar system is permutatively equivalent in , 1 < p < ∞, to a subsequence of the classical (i.e. dyadic) Haar system. As a consequence, each general Haar system is a greedy basis in , 1 < p < ∞. In addition, we give an example of a general Haar system whose tensor products are greedy bases in each , 1 < p < ∞, d ∈ ℕ. This is in contrast to [11], where it has been shown that the tensor products of the dyadic Haar system are not greedy bases in for 1...
High order corrections to the time-independent Born-Oppenheimer approximation. — I. Smooth potentials
Integral Kernels and Approximation on Totally Real Submanifolds of Cn.
Interpolation mit Intervallfunktionalen.
-approximation by iterative combination of Phillips operators.
-inverse theorem for modified beta operators.
Lemmes de Schwarz et lemmes d'approximations p-adiques en plusieurs variables.
Linear combinations of partitions of unity with restricted supports
Given a locally finite open covering of a normal space X and a Hausdorff topological vector space E, we characterize all continuous functions f: X → E which admit a representation with and a partition of unity subordinate to . As an application, we determine the class of all functions f ∈ C(||) on the underlying space || of a Euclidean complex such that, for each polytope P ∈ , the restriction attains its extrema at vertices of P. Finally, a class of extremal functions on the metric space...