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Vol. 71 No. 2 (2019)

Published: 25.02.2019

Anniversaries

Vladyslav Kyrylovych Dzyadyk (on his 100th birthday)

147-150
- PDF (Ukrainian)

Research articles

Application of Dzyadyk’s polynomial kernels in the constructive function theory

V. V. Andrievskii

151-157
- PDF
One inequality of the Landau – Kolmogorov type for periodic functions of two variable

V. F. Babenko

158-167
- PDF (Russian)
Piecewise-polynomial approximations for the solutions of impulsive differential equations

V. I. Bilenko, K. V. Bozhonok, S. Yu. Dzyadyk

168-179
- PDF (Ukrainian)
On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space $L_{2x} (0,1)$

S. B. Vakarchuk

179-189
- PDF (Russian)
Resonant equations with classical orthogonal polynomials. I

I. P. Gavrilyuk, V. L. Makarov

190-209
- PDF
Quasiunconditional basis property of the Faber – Schauder system

M. G. Grigoryan, V. G. Krotov

210-219
- PDF (Russian)
On Cèsaro and Copson norms of nonnegative sequences

V. I. Kolyada

220-229
- PDF
On one estimate of divided differences and its applications

K. A. Kopotun, D. Leviatan, I. A. Shevchuk

230-245
- PDF
Estimation of the rate of decrease (vanishing) of a function in terms of relative oscillations

A. A. Korenovskii

246-260
- PDF (Russian)
On the joint approximation of a function and its derivatives in the mean

O. V. Motornaya, V. P. Motornyi

261-270
- PDF (Ukrainian)
Approximating characteristics of the classes of periodic multivariate functions in the space $B_{∞,1}$

A. S. Romanyuk, V. S. Romanyuk

271-282
- PDF (Ukrainian)
Approximation by interpolation trigonometric polynomials in metrics of the spaces $L_p$ on the classes of periodic entire functions

A. S. Serdyuk, I. V. Sokolenko

283-292
- PDF (Ukrainian)
On the approximation of functions by polynomials and entire functions of exponential type

R. M. Trigub

293-300
- PDF (Russian)