Volume 246, Issue 1

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April 2020

This issue is a translation of Ukrains’kiĭ Matematychnyĭ Visnyk (Ukrainian Mathematical Bulletin) Vol. 16, No. 3, 2019. International Editorial Board of Ukrains’kiĭ Matematychnyĭ Visnyk: M. Atiyah (deceased), B. Bojarski (deceased), A. Friedman, O. Martio, L. Nirenberg, A. Samoilenko (Editor-in-Chief).

8 articles in this issue

Extremal decomposition of the complex plane with free poles
Aleksandr K. Bakhtin
Iryna V. Denega
OriginalPaper 24 February 2020 Pages: 1 - 17
On the functional properties of weak (p, q)-quasiconformal homeomorphisms
Vladimir Gol’dshtein
Alexander Ukhlov
OriginalPaper 24 February 2020 Pages: 18 - 29
Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy
Serhii V. Gryshchuk
OriginalPaper 26 February 2020 Pages: 30 - 38
Approximation of the classes \( {W}_{\beta}^r{H}^{\alpha } \) by three-harmonic Poisson integrals
Inna V. Kal’chuk
Vasyl’ I. Kravets
Ulyana Z. Hrabova
OriginalPaper 24 February 2020 Pages: 39 - 50
Filtering of stationary Gaussian statistical experiments
Volodymyr S. Korolyuk
Dmytro V. Koroliouk
OriginalPaper 24 February 2020 Pages: 51 - 59
On the HÖlder property of mappings in domains and on boundaries
Vladimir I. Ryazanov
Ruslan R. Salimov
Evgenii A. Sevost’yanov
OriginalPaper 24 February 2020 Pages: 60 - 74
\( {\mathfrak{B}}_1 \) classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth
Igor I. Skrypnik
Mykhailo V. Voitovych
OriginalPaper 24 February 2020 Pages: 75 - 109
Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
Hanna M. Vlasyk
Viktoriya V. Shkapa
Iryna V. Zamrii
OriginalPaper 24 February 2020 Pages: 110 - 119

Volume 246, Issue 1

Extremal decomposition of the complex plane with free poles

On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy

Approximation of the classes \( {W}_{\beta}^r{H}^{\alpha } \) by three-harmonic Poisson integrals

Filtering of stationary Gaussian statistical experiments

On the HÖlder property of mappings in domains and on boundaries

\( {\mathfrak{B}}_1 \) classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth

Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric

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