Vol 19 (2011)

DOI: https://doi.org/10.15421/24111901

Published: online 31.08.2011, print 08.09.2011

Table of Contents

Preamble
 
PDF (Українська)
1-2

Articles

Inequality of Taikov type for powers of normal operators in Hilbert space
V.F. Babenko, R.O. Bilichenko
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3-7
Inequalities of Jackson-Stechkin type for $$$B^2$$$-almost periodic functions
V.F. Babenko, S.V. Savela
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8-14
On degree of approximation of non-periodic function by Voronoi means of its Fourier integral
L.G. Bojtsun, A.O. Deordiieva
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15-23
On degree of approximation of function by Voronoi means of its Fourier integral
L.G. Bojtsun, T.I. Rybnikova
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24-27
On approximation of functions by algebraic polynomials on the average in real domain with Chebyshev-Hermite weight
S.B. Vakarchuk, M.B. Vakarchuk
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28-31
On mutual deviation of certain subspaces of Hermitian interpolatory splines for different nets of knots
V.L. Velikіn
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32-40
On classes $$$\breve{H}_{p; \rho}^{(\nu)}$$$ and $$$\widetilde{H}_{p; \rho}^{(\nu)}$$$
S.V. Goncharov
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41-46
On the best interval quadrature formula for the class of functions $$$W^3 H^{\omega}$$$
Ye.V. Derets
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47-56
Signs criterion and Wilcoxon criterion from the Interval Analysis point of view
F.P. Degtiarenko, V.I. Ruban
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57-60
On products of some unitary operators
N.V. Kalashnіkova
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61-66
Exact upper bounds of norms of polynomials, splines, and their derivatives on arbitrary interval
V.A. Kofanov
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67-70
Asymptotics of $$$L_p$$$-error for adaptive approximation of $$$n$$$-variable functions by harmonic splines
T.Yu. Leskevich
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71-82
On non-periodic groups with non-Dedekind norm of Abelian noncyclic subgroups
F.N. Liman, M.G. Drushliak
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83-97
Betti numbers of spaces of generalized perfect splines
A.M. Pasko
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98-101
Absolute convergence of Fourier integrals and Lipschitz classes
B.I. Peleshenko
PDF (Русский)
102-108
Structure of finite groups, in which any pronormal subgroup is either normal or abnormal
A.A. Pypka
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109-112
Groups where non-normal subgroups are close to Abelian groups
M.M. Semko, O.A. Yarova
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113-122
Conditions of unicity of the best nonsymmetric $$$L_1$$$-approximant for vector-valued functions by one-dimensional subspace
M.Ye. Tkachenko, V.M. Traktynska
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123-128
Monotonicity of sequence of the best approximating constants for the function $$$\sqrt{t}$$$
O.V. Chernytska
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129-131
On some numerical characteristics of permutability of subgroups of finite groups
V.A. Chupordia
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132-137