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 27, No 1 (2019)

Table of Contents

Preamble
 
PDF
1-2

Articles

The Bojanov-Naidenov problem for trigonometric polynomials and periodic splines
E.V. Asadova, V.A. Kofanov
PDF
3-13
On generalized characteristics of smoothness of functions and on average $$$\nu$$$-widths in the space $$$L_2(\mathbb{R})$$$
S.B. Vakarchuk, M.B. Vakarchuk
PDF
14-27
Extremal problems for non-periodic splines on real domain and their derivatives
K.A. Danchenko, V.A. Kofanov
PDF (Українська)
28-38
The homology groups of the space $$$\Omega_n(m)$$$
A.M. Pasko
PDF
39-44
On interpolation of operator, which is the sum of weighted Hardy-Littlewood and Cesaro mean operators
B.I. Peleshenko
PDF
45-54
On the Landau-Kolmogorov inequality between $$$\| f' \|_{\infty}$$$, $$$\| f \|_{\infty}$$$ and $$$\| f''' \|_1$$$
D. Skorokhodov
PDF
55-66
The uniqueness of the best non-symmetric $$$L_1$$$-approximant with a weight for continuous functions with values in KB-space
M.Ye. Tkachenko, V.M. Traktynska
PDF
67-74