Vol. 64 No. 8 (2012)

Published: 25.08.2012

Research articles

Approximation of some classes of functions of many variables by harmonic splines

V. F. Babenko, T. Yu. Leskevich

1011-1024
- PDF (Russian)
- Springer
On the best polynomial approximation in the space L2 and widths of some classes of functions

S. B. Vakarchuk, V. I. Zabutnaya

1025-1032
- PDF (Russian)
- Springer
Derived categories of nodal curves

D. E. Voloshyn, Yu. A. Drozd

1033-1040
- PDF (Ukrainian)
- Springer
Trigonometric widths of classes of periodic functions of many variables

N. V. Derev’yanko

1041-1052
- PDF (Ukrainian)
- Springer
Nevanlinna formula for the truncated matrix trigonometric moment problem

S. M. Zagorodnyuk

1053-1066
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- Springer
Space-time fractional Cauchy problem in spaces of generalized functions

G. P. Lopushanskaya, A. O. Lopushanskyi

1067-1079
- PDF (Ukrainian)
- Springer
Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity

V. N. Pavlenko, M. S. Fedyashev

1080-1088
- PDF (Russian)
- Springer
Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg?de Vries equation with variable coefficients. II

V. G. Samoilenko, Yu. I. Samoilenko

1089-1105
- PDF (Ukrainian)
- Springer
Estimates for bilinear approximations of the classes TeX of periodic functions of two variables

K. V. Solich

1106-1120
- PDF (Ukrainian)
- Springer
Generalized relaxed elastic line on an oriented surface

G. Özkan, A. Yücesan

1121-1131
- PDF
- Springer

Short communications

One improvement of the law of the iterated logarithm for the maximum scheme

K. S. Akbash, I. K. Matsak

1132-1137
- PDF (Ukrainian)
- Springer
An admissible estimator for the r th power of a bounded scale-parameter in a subclass of the exponential family under entropy loss function

S. Alikhani, E. Mahmoudi, H. Torabi

1138-1147
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- Springer
Approximation of holomorphic functions of Zygmund class by Fejer means

V. V. Savchuk, M. V. Savchuk

1148-1152
- PDF (Ukrainian)
- Springer