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Vol. 74 No. 5 (2022)

Published: 11.07.2022

Anniversaries

Oleksandr Ivanovych Stepanets’ (on his 80th birthday)

579 - 581
- pdf (Ukrainian)

Research articles

On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

F. G. Аbdullayev, M. Imashkyzy

582 - 598
- pdf
Estimates for deviation of integral operators in semilinear metric spaces and their applications

V. F. Babenko , V. V. Babenko , O. V. Kovalenko , N. V. Parfinovych

599 - 609
- pdf (Ukrainian)
Widths of classes of functions in the weight space $L_{2,\gamma}(\mathbb{R}), \gamma=\exp(-x^2)$

S. B. Vakarchuk

610 - 619
- pdf (Ukrainian)
Approximations of the Mittag-Leffler operator function with exponential accuracy and their application to solving of evolution equations with fractional derivative in time

I. P. Gavrilyuk , V. L. Makarov

620 - 634
- pdf
Sharp Remez type inequalities estimating the $L_q$ -norm of a function via its $L_p$ -norm

V. A. Kofanov, T. V. Olexandrova

635 - 649
- pdf (Ukrainian)
Wiman-type inequality in multiple-circular domains: Lévy’s phenomenon and exceptional sets

A. O. Kuryliak, O. B. Skaskiv

650 - 661
- pdf (Ukrainian)
No Jackson-type estimates for piecewise $q$ -monotone, $q\ge3$ , trigonometric approximation

D. Leviatan , O. V. Motorna, I. A. Shevchuk

662 - 675
- pdf
Approximation of holomorphic functions by Cesàro means

O. G. Rovenska , V. V. Savchuk , M. V. Savchuk

676 - 684
- pdf (Ukrainian)
Approximation by Fourier sums in classes of Weyl – Nagy differentiable functions with high exponent of smoothness

A. S. Serdyuk, I. V. Sokolenko

685 - 700
- pdf (Ukrainian)
Direct and inverse approximation theorems in the Besicovitch – Musielak – Orlicz spaces of almost periodic functions

S. O. Chaichenko , A. L. Shidlich, T. V. Shulyk

701 - 716
- pdf
On the Gelfond – Leont’ev – Sǎlǎgean and Gelfond – Leont’ev – Ruscheweyh operators and analytic continuation of functions

M. M Sheremeta

717 - 724
- pdf (Ukrainian)

Short communications

On Taylor coefficients of functions of classes $H_1$

V. V. Bovsunovska , P. V. Zaderey

725 - 728
- pdf (Ukrainian)