Researches in Mathematics

The journal presents results of researches concerning algebra, approximation theory for the functions of real variable, the equations of mathematical physics, and their application to problem solution.

The journal is intended for research officers, post-graduate and undergraduate students.


Vol 26 (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