Simultaneous approximation of locally integrable functions and their ψ-integrals
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
Low smoothness case. The article presents the problems of simultaneous approximation of locally integrable functions on the real axis of low smoothness and their integrals using Vallee Poussin operators. The asymptotic laws of behavior of the upper bounds of functionals are found that characterize this problem.
Authors and Affiliations
E. S. Silin
Keywords
Related Articles
- EP ID EP416070
- DOI -
- Views 63
- Downloads 0
Asymptotic behaviour of solutions of second-order differential equations with rapid varying nonlinearities
In the present paper the question of existence and asymptotic, as 𝑡 Ò 𝜔 (𝜔 ¤ 8), behaviour of 𝑃𝜔p𝑌0,𝜆0q-solutions of a binomial non-autonomous 2-nd order differential equation with rapidly varying nonlinearities, as 𝑦 Ñ...
ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY VARYING COEFFICIENTS IN RESONANCE CASE
For the linear homogeneous differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, conditions of existence of the l...
Behavior of the solutions of some systems of differential equations which are partially resolved relatively to the derivatives
This article investigates the questions of the analytical solutions existence for some differential equations systems partially resolved relatively to the derivatives. The sufficient conditions of the analytical solution...
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...
THE ANALOGUE OF THE FLOQUET-LYAPUNOV THEOREM FOR THE LINEAR DIFFERENTIAL SYSTEMS OF THE SPECIAL KIND
The analogue of the well known in the theory of the linear differential systems Floquet's--Lyapunov's theorem are constructed by the certain condidtions for the linear differential system, whose coefficients are represen...