Vol 24 (2016)

DOI: https://doi.org/10.15421/24162401

Published: online 31.08.2016, print 08.09.2016

Table of Contents

Articles

Approximation of unbounded functional, defined by grades of normal operator, on the class of elements of Hilbert space
R.O. Bilichenko
PDF (Русский)
3-9
The best polynomial approximation, derivatives of fractional order, and widths of classes of functions in $$$L_2$$$
S.B. Vakarchuk, M.B. Vakarchuk
PDF (Русский)
10-16
Equivalence theorem for additive inequalities of Kolmogorov type
A.Ye. Haidabura, V.A. Kofanov
PDF (Українська)
17-22
On extension of functions, being integrable with weight on interval and satisfying conditions of Lipschitz type
S.V. Goncharov
PDF (Русский)
23-26
Optimal recovery of convolution of n-functions from various classes by linear information
M.S. Gun'ko
PDF (Русский)
27-34
Admissible quiver, derived from $$$m$$$ pairwise non-equivalent exponent matrices
O.V. Zelenskiy, V.M. Darmosiuk
PDF (Українська)
35-40
Some properties of prime numbers of special form and Carmichael numbers
N.V. Kalashnіkova
PDF (Українська)
41-43
Criterion of the best approximant for multivariable functions in spaces $$$L_{1,p_2,...,p_n}$$$ and $$$L_{p_1,...,p_{n-1},1}$$$
O.D. Kostyuk, V.M. Traktyns'ka, M.Ye. Tkachenko
PDF (Українська)
44-51
On sharp Remez-type inequalities of various metrics for periodic functions
V.A. Kofanov
PDF (Русский)
52-57
Integral representations of positive definite functions of one variable, associated with operator $$$\frac{d^4}{dx^4}$$$
O.V. Lopotko
PDF (Українська)
58-63
On exact values of relative approximations of classes of periodic functions by splines
N.V. Parfinovich, I.A. Shevchenko
PDF (Русский)
64-70
Homology groups of $$$\mathbb{C}{\Omega}_n$$$ space for certain dimensionalities
A.M. Pas'ko
PDF (Українська)
71-76
On the absolute convergence of Fourier series and generalisation of Lipschitz spaces, defined by differences of fractional order
B.I. Peleshenko, T.N. Semirenko
PDF (Русский)
77-88
On approximation by trigonometrical polynomials in $$$L_2$$$ space
O.V. Polyakov
PDF (Русский)
89-94
Time complexity of algorithms of full analysis of dynamical systems with discrete time, defined on a finite set of states
V.I. Ruban, A.A. Rudenko
PDF (Українська)
95-98