Vol 6 (1998)

DOI: https://doi.org/10.15421/24980601

Publication: online 08.11.2021, print 31.12.1998

Table of Contents

Preamble
 
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1-2

Articles

On relative widths of classes of multivariable functions that are defined as a convolution
L. Azar
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3-10
On the best non-symmetric $$$L_1$$$-approximations by splines under constraints for their derivatives
V.F. Babenko, I.N. Litviniuk, N.V. Parfinovych
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11-18
Optimization of 'interval' quadrature formulas for the classes $$$H^{\omega_+ ; \omega_-}$$$
S.V. Borodachev
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19-26
On inequalities of Schoenberg-Cavaretta type for differential operators
Yu.Ye. Britvin
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27-32
On uniqueness of the best non-symmetric approximant for vector-valued functions in $$$L_1$$$ metric
M.Ye. Gorbenko
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33-41
Asymptotic optimal control over elliptic system with special characteristics
Yu.N. Gorgo
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42-49
On inequalities of Bernstein type for complex trigonometric polynomials
V.G. Doronin
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50-51
The best approximation of classes $$$W^r H^{\omega}$$$ by algebraic polynomials in $$$L_1$$$ space
A.M. Kogan
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52-59
Properties of bounded and precompact by measure sets
A.A. Korniienko, S.A. Pichugov
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60-69
Groups with constraints for proper factor-groups and the modules associated with them
L.A. Kurdachenko, N.V. Kalashnіkova, J. Otal, I.Ya. Subbotin
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70-84
On geometry of convex surfaces
A.A. Ligun, S.V. Timchenko, A.A. Shumeiko
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85-91
On the best approximation, by polynomials, of some classes of functions
O.V. Motornaia
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92-100
On one smoothing problem in uniform metric
A.V. Moroz
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101-106
On conditions of boundedness of convolution operators in symmetric spaces
B.I. Peleshenko
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107-111
Lower limits of norms of some splines that are used for estimates of non-symmetric widths
V.I. Ruban
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112-114
Renewal of bilinear functionals in linear normed spaces
A.A. Rudenko
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115-118
Criterion of the best non-symmetric approximant in spaces with mixed integral metric
V.M. Traktynska
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119-122
On one inequality of Kolmogorov type for fractional derivatives
Ye.V. Turchin
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123-127
On approximation of continuous functions by piecewise-constant ones in integral metrics
O.V. Chernytska
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128-137
On renewal of surfaces of revolution by linear surfaces
A.A. Shumeiko
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138-144