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
The general schema of averaging of systems of discrete equations with variable delay in the optimal control tasks
There is considered the optimal control problem for systems of discrete equations with variable delay about the state and control. The averaging method using to solve the problem. For the optimal control of averaging pro...
LINEAR DISCRETE SYSTEMS CONTROLLABILITY FROM A SET OF INITIAL STATES TO A TERMINAL SET
In the article we consider controllability conditions from an initial set to a terminal set for a linear non-homogenous discrete system. We introduce three types of controllability: from an initial set to a terminal set;...
INVESTIGATION OF THE NON-STATIONARY THERMOELASTIC STATE OF SHELLS COMPLIANT TO SHEARS AND COMPRESSION
A linear boundary-value problem for thin shells compliant to shears and compression (a six-modal variant) is formulated. The key equations for determining the non-stationary thermoelastic state of the considered shells a...
On the one self-improving property of exponent
In this note an alternative proof of the well-known property, associated with the so-called “self-improving property”, is presented. This property states that if for some 𝐵 > 1, 1 < 𝑞 < ∞, nonnegative on (0,+∞) function...
Linear-inversive congruential generator of PRN’s
The inversive congruential method for generating uniform pseudorandom numbers is a particulary attractive alternative to inversive congruential generators, which show many undesirable regularities. In the present paper a...