Vol 26 (2018)

DOI: https://doi.org/10.15421/24182601

Published: online 31.08.2018, print 08.09.2018

Table of Contents

Preamble
 
PDF (Українська)
1-2

Articles

Grygorіj Oleksіjovych Gruzintsev: the man, the mathematician, the philosopher
M.B. Vakarchuk, M.Ye. Tkachenko
PDF (Українська)
3-7
The best polynomial approximations of some classes of analytic functions in the Hardy spaces
S.B. Vakarchuk, V.I. Zabutna, M.B. Vakarchuk
PDF (Українська)
8-17
On the convergence of multidimensional regular C-fractions with independent variables
R.I. Dmytryshyn
PDF
18-24
Bojanov-Naidenov problem for positive (negative) parts of differentiable functions on the real domain
V.V. Kameneva, V.A. Kofanov
PDF (Русский)
25-36
Lower estimates on the saturation order of approximation of twice continuously differentiable functions by piecewise constants on convex partitions
O.V. Kozynenko
PDF
37-47
Inequalities of various metrics for the norms $$$\|x\|_{p,\delta} = \sup \bigl\{ \| x \|_{L_p[a,b]} \colon a,b\in \mathbb{R}, b-a\leqslant \delta \bigr\}$$$ of differentiable functions on the real domain
V.A. Kofanov
PDF (Русский)
48-55
On mean approximation of function and its derivatives
V.P. Motornyi
PDF (Українська)
56-61
Pointwise estimates of the best one-sided approximations of classes $$$W^r_{\infty}$$$ for $$$0 < r < 1$$$
A.M. Pas'ko, V.D. Stefura
PDF (Українська)
62-67
On interpolation of operators of weak type $$$(\phi_0, \psi_0, \phi_1, \psi_1)$$$ in Lorentz spaces in borderline cases
B.I. Peleshenko, T.N. Semirenko
PDF (Українська)
68-78
On one property of zeros of polynomials of the least $$$(\alpha; \beta)$$$-deviation from zero in weighted space $$$L_p$$$
O.V. Polyakov
PDF (Русский)
79-81
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions
D. Skorokhodov
PDF
82-88
The criterion of the best approximant for the multivariable functions in the space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$
V.M. Traktyns'ka, M.Ye. Tkachenko, D.O. Osennikova
PDF
89-94