We prove that for any dynamical system (X,Σ,m, T ), the maximal operator defined by N∗f(x) = sup n 1 n # { 1 ≤ i : f(T ix) i ≥ 1 n } is almost everywhere finite for f in the Orlicz class L log logL(X), extending a result of Assani [2]. As an application, a weighted return times theorem is also proved.

Flight control systems designed using linear control theory do not perform adequately over the entire operating range of aircraft. Furthermore flight control systems developed for unmanned areil vehicles are expected to meet performance specifications in the presence of nonlinearities and/or failures. Adaptive controllers are ideal candidates for flight control sytem design due to their inheren...

In the present paper we establish a link between Lupa? operators and its Kantorovich type integral modification, by applying methods of finite differences, also difference two is established in weighted spaces. Further, consider modification variant, which preserve test functions evjx,j=1,2 estimate Voronovskaja convergence estimate.

It is well known that simulation equivalence is an appropriate abstraction to be used in model checking because it strongly preserves ACTL∗ and provides a better space reduction than bisimulation equivalence. However, computing simulation equivalence is harder than computing bisimulation equivalence. A number of algorithms for computing simulation equivalence exist. Let Σ denote the state space...

A number of algorithms for computing the simulation preorder are available. Let Σ denote the state space, ! the transition relation and Psim the partition of Σ induced by simulation equivalence. The algorithms by Henzinger, Henzinger, Kopke and by Bloom and Paige run in O(|Σ||!|)-time and, as far as time-complexity is concerned, they are the best available algorithms. However, these algorithms ...

Abstract The purpose of this research is to construct sequences Baskakov operators such that their construction consists a function σ by use two sequences, $\xi _{n} $ ξn and $\eta xmlns:mml="http://www.w3.org/1998/Math/MathML">ηn...

This paper addresses the problem of fitting a known distribution function to the marginal distribution of a stationary long memory moving average random field observed on increasing ν-dimensional “cubic” domains when its mean μ and scale σ are known or unknown. Using two suitable estimators of μ and a classical estimate of σ, a modification of the Kolmogorov-Smirnov statistic is defined based o...

We investigate the relation between the diagonal (σ(xx)) and off-diagonal (σ(xy)) components of the conductivity tensor in the quantum Hall system. We calculate the conductivity components for a short-range impurity potential using the linear response theory, employing an approximation that simply replaces the self-energy by a constant value [Formula: see text] with τ the scattering time. The a...

We introduce the notion of weak subnormality, which generalizes subnormality in the sense that for the extension b T ∈ L(K) of T ∈ L(H) we only require that b T ∗ b Tf = b T b T ∗f hold for f ∈ H; in this case we call b T a partially normal extension of T . After establishing some basic results about weak subnormality (including those dealing with the notion of minimal partially normal extensio...