On iterated similarities of operators

Some Operators for Iterated RevisionS

On simultaneous approximation by iterated Boolean sums of Bernstein operators

The paper presents upper estimates of the error of weighted and unweighted simultaneous approximation by the Bernstein operators and their iterated Boolean sums. The estimates are stated in terms of the Ditzian-Totik modulus of smoothness or appropriate K-functionals. AMS classification: 41A10, 41A17, 41A25, 41A28, 41A35, 41A36.

Endstopped operators based on iterated nonlinear center-surround inhibition

In this paper we analyze the properties of a repeated isotropic center-surround inhibition which includes simple nonlinearities like half-wave rectification and saturation. Our simulation results show that such operations, here implemented as iterated nonlinear differences and ratios of Gaussians (INDOG and INROG), lead to endstopping. The benefits of the approach are twofold. Firstly, the INDO...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Iterated function systems, Ruelle operators, and invariant projective measures

We introduce a Fourier-based harmonic analysis for a class of discrete dynamical systems which arise from Iterated Function Systems. Our starting point is the following pair of special features of these systems. (1) We assume that a measurable space X comes with a finite-to-one endomorphism r : X → X which is onto but not one-to-one. (2) In the case of affine Iterated Function Systems (IFSs) in...