Vol 25 (2017)

DOI: https://doi.org/10.15421/24172501

Published: online 31.08.2017, print 08.09.2017

Table of Contents

Articles

On the best polynomial approximation of $$$(\psi,\beta)$$$-differentiable functions in $$$L_2$$$ space
S.B. Vakarchuk
PDF (Русский)
3-13
On average $$$n$$$-widths of certain classes of functions in $$$L_2(\mathbb{R})$$$ space
S.B. Vakarchuk, M.B. Vakarchuk
PDF (Русский)
14-22
Sharp Remez-type inequalities of various metrics for the best approximations by a constant
A.Ye. Haidabura, V.A. Kofanov
PDF (Русский)
23-32
On the optimal renewal of n-linear functionals from linear information on the sets, defined by unbounded operators
M.S. Gun'ko, A.A. Rudenko
PDF (Русский)
33-40
Solution of Bojanov-Naidenov problem with constraints for the norm $$$\|x\|_{p,\delta} = \sup \bigl\{ \| x \|_{L_p[a;b]} \colon a,b\in \mathbb{R}, b-a\leqslant \delta \bigr\}$$$
V.A. Kofanov
PDF (Русский)
41-50
Integral representation of positive definite kernels, associated with differential expression of second order of elliptic type
O.V. Lopotko
PDF (Українська)
51-56
Properties and approximation of integrable functions
V.P. Motornyi, U.P. Babyak, K.R. Studenikina, M.V. Shtats'ka
PDF (Українська)
57-67
On extremal subspaces for widths of classes of convolutions
N.V. Parfinovich
PDF (Українська)
68-79
Improvement of smoothness of functions by bilinear operators, continuous by measure
A.M. Pas'ko
PDF (Українська)
80-83
Traces of generalized potentials
B.I. Peleshenko, T.N. Semirenko
PDF (Українська)
84-88
On locally finite groups whose cyclic subgroups are monopronormal
A.A. Pypka
PDF
89-96
Criterions for the best non-symmetric $$$L_p$$$- and $$$L_1$$$-approximant for the functions with values in KB-spaces with weight
M.Ye. Tkachenko, V.M. Traktyns'ka
PDF (Українська)
97-102