Vol 16 (2008)

DOI: https://doi.org/10.15421/24081601

Published: online 31.08.2008, print 08.09.2008

Table of Contents

Preamble
 
PDF (Українська)
1-2

Articles

Inequalities of Kolmogorov type for fractional derivatives of multivariable functions
V.F. Babenko, T.V. Matveeva
PDF (Русский)
3-9
Inequalities of Jackson type for functions with values in Hilbert space
V.F. Babenko, S.V. Savela
PDF (Русский)
10-20
Inequalities of Bernstein type for splines in $$$L_2(\mathbb{R})$$$ space
V.F. Babenko, S.A. Spektor
PDF (Русский)
21-27
On inequalities of Kolmogorov type for fractional derivatives of functions defined on the real domain
V.F. Babenko, M.S. Churilova
PDF (Українська)
28-34
Absolute summation of Fourier integrals with multiplier by G.F. Voronoi method
L.G. Bojtsun, S.V. Kocherga
PDF (Українська)
35-40
On uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums
S.B. Vakarchuk, M.B. Vakarchuk, V.I. Zabutna
PDF (Русский)
41-48
Estimates of generalized Lebesgue constants of partial Fourier-Jacobi sums
S.V. Goncharov, V.P. Motornyi
PDF (Русский)
49-55
On non-Abelian infinite-dimensional linear groups
O.Yu. Dashkova
PDF (Русский)
56-72
On the best interval quadrature formula for the class $$$W^2 H_1^{\omega}$$$
Ye.V. Derets
PDF (Русский)
73-83
Behaviour of exact constants in inequalities of Jackson type
V.G. Doronin, A.A. Ligun
PDF (Українська)
84-90
On the best relative nonsymmetric approximations of classes of periodic functions by splines
Ye.N. Karpova, N.V. Parfinovich
PDF (Русский)
91-98
To the question of regularization of vector optimization problems
P.I. Kogut, I.V. Nechai
PDF (Українська)
99-110
Generalization of A.A. Ligun's inequality to $$$L_q$$$, $$$q \in [0, 1)$$$ spaces
V.A. Kofanov
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111-116
One-sided approximation of some classes of singular integrals with regard to point position on the interval
A.M. Pasko
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117-119
Characterization in terms of K-functionals of quasilinear operators of weak types $$$\left( \Lambda_{\varphi_0, 1}, \Lambda_{\psi_0, \infty} \right)$$$, $$$\left( \Lambda_{\varphi_1, 1}, \Lambda_{\psi_1, 1} \right)$$$
B.I. Peleshenko
PDF (Русский)
120-134
Methods of classification and algorithms of graph coloring
V.A. Perepelitsa, I.V. Kozin, S.V. Kurapov
PDF (Русский)
135-143
Conditions of unicity of the best $$$L_1$$$-approximant for vector-valued functions by subspace of constant mappings
M.Ye. Tkachenko, V.M. Traktynska
PDF (Русский)
144-148
On the weakly-* dense subsets in $$$L^{\infty}(\Omega)$$$
P.I. Kogut, T.N. Rudyanova
PDF
149-154
Moments method in problems of optimal control of nonlinear models of logistic type
S.V. Chernyshenko
PDF (Русский)
155-166