Approximation of periodical function in the weighted Orlicz spaces
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
We obtain some direct and inverse theorems of theory of approximation for 𝜓-differentiable functions in the metrics of weighted Orlicz spaces with weight functions, which belongs to the Muckenhoupt class.
Authors and Affiliations
S. O. Chaichenko
Nonlinear observer for system of the Van der Pol oscillators
The problem of velocities determination for interconnected Van der Pole oscillators by known data is considered as observation problem. Such systems arise on modelling of many cyclical biological or physical processes. A...
SEQUENCES OF PRN’S PRODUCED BY CIRCULAR GENERATOR
We investigate the sequence of pseudorandom numbers (abbreviation: PRN) produced by congruential generator that associated with the group of points of the gaussian integers with norms comparing (congruent) with Ѓ}1 (mod...
HIGH-ORDER CLUSTER INTEGRALS FOR THE LATTICE-GAS MODEL
In the paper, for the known statistical lattice-gas model, a new method is proposed to define the high-order reducible cluster integrals on the basis of the Cauchy--Hadamard theorem and recently established strict inform...
Asymptotics of one class of solutions of 𝑛-th order ordinary differential equations with regularly varying nonlinearities
In the present paper the existence conditions of solutions, for each of which there exists a number 𝑘 P t3, . . . , 𝑛u such that p𝑛 _ 𝑘q-th derivative of solution tends to nonzero constant as the argument tends to 8, of...
Approximation of solutions to the optimal control problem for the impulsive system with maximum
This paper presents the averaging method for two problems: impulsive system with maximum and for the optimal control problem of this kind of system. For the first problem the Krylov–Bogolyubov’s theorem is generalized. F...