Andrii Shidlich

@imath.kiev.ua

Departments of Theory of Functions
Institute of Mathematics of the National Academy of Sciences of Ukraine

Andrii Shidlich


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https://researchid.co/shidlich

RESEARCH, TEACHING, or OTHER INTERESTS

Analysis
32

Scopus Publications

415

Scholar Citations

13

Scholar h-index

17

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Approximation of generalized Wiener classes of functions of several variables in different metrics
    A Shidlich
    arXiv preprint arXiv:2601.01182 , 2026
    2026
  • Approximation characteristics of Stepanets-Orlicz type spaces
    A Shydlich
    Altay Conference Proceedings in Mathematics 2 (1), 48-59 , 2025
    2025
  • Best weighted approximation of some kernels on the real axis
    S Chaichenko, V Savchuk, A Shidlich
    arXiv preprint arXiv:2509.23890 , 2025
    2025
  • Actual problems of the theory of approximations in metrics of discrete spaces on the sets of summable periodic and almost periodic functions
    A Serdyuk, A Shidlich
    Ukrainian Mathematical Journal 76 (11), 1858-1900 , 2025
    2025
    Citations: 5
  • Generalized Zernike polynomials, their properties and applications
    AL Shydlich
    XX МIЖНАРОДНА НАУКОВА КОНФЕРЕНЦIЯ IМЕНI АКАДЕМIКА МИХАЙЛА КРАВЧУКА, 16 , 2025
    2025
  • Approximation of functions by linear methods in weighted Orlicz type spaces with variable exponent
    SO Chaichenko, AL Shidlich
    Researches in Mathematics 32 (2), 70-87 , 2024
    2024
    Citations: 4
  • Актуальні проблеми теорії наближень в метриках дискретних просторів на множинах сумовних періодичних та майже періодичних функцій
    A Serdyuk, A Shidlich
    UKRAINS’KYI MATEMATYCHNYI ZHURNAL Учредители: Institute of Mathematics … , 2024
    2024
  • Extreme problems of weight approximation on the real axis
    VV Savchuk, SO Chaichenko, AL Shydlich
    Journal of Mathematical Sciences 279 (1), 104-114 , 2024
    2024
    Citations: 5
  • Approximation on hexagonal domains by Taylor-Abel-Poisson means
    J Prestin, V Savchuk, A Shidlich
    Journal of Mathematical Analysis and Applications 529 (2), 127536 , 2024
    2024
    Citations: 6
  • UKRAINS’KYI MATEMATYCHNYI ZHURNAL
    VP MOTORNY, IO SHEVCHUK, SB VAKARCHUK, AO KORENOVSKYI, ...
    UKRAINS’KYI MATEMATYCHNYI ZHURNAL Учредители: Institute of Mathematics … , 2024
    2024
  • Владислав Федорович Бабенко (до 75-річчя від дня народження)
    ВП Моторний, ІО Шевчук, СБ Вакарчук, АО Кореновський, ВО Кофанов, ...
    Ukrains’ kyi Matematychnyi Zhurnal 76 (10), 1565-1568 , 2024
    2024
  • Extremal problems of weighted approximation on the real axis
    VV Savchuk, SO Chaichenko, AL Shidlich
    arXiv preprint arXiv:2310.13531 , 2023
    2023
  • OLEKSANDR IVANOVYCH STEPANETS (on his 80th birthday)
    IO Lukovs' kyi, VL Makarov, OM Tymokha, VP Motornyi, IO Shevchuk, ...
    UKRAINIAN MATHEMATICAL JOURNAL 74 (5), 661-663 , 2022
    2022
  • Direct and inverse approximation theorems in the Besicovitch–Musielak–Orlicz spaces of almost periodic functions
    SO Chaichenko, TV Shulyk, AL Shidlich
    Український математичний журнал 74 (5), 701-716 , 2022
    2022
    Citations: 8
  • Олександр Іванович Степанець (до 80-річчя від дня народження)
    ІО Луковський, ВЛ Макаров, ОМ Тимоха, ВП Моторний, ІО Шевчук, ...
    Український математичний журнал 74 (5), 579-581 , 2022
    2022
  • Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces
    F Abdullayev, S Chaichenko, M Imashkyzy, A Shidlich
    Rocky Mountain Journal of Mathematics 51 (4), 1143-1155 , 2021
    2021
    Citations: 16
  • Поперечники функціональних класів, визначених мажорантами узагальнених модулів гладкості в просторах :
    F Abdullayev, A Serdyuk, A Shidlich
    Ukrains’ kyi Matematychnyi Zhurnal 73 (6), 723-737 , 2021
    2021
  • Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
    A Serdyuk, A Shidlich
    arXiv preprint arXiv:2105.06796 , 2021
    2021
    Citations: 7
  • Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces
    F Abdullayev, S Chaichenko, A Shidlich
    Mathematical Inequalities & Applications 24 (2), 323–336 , 2021
    2021
    Citations: 18
  • Problems of approximation theory in abstract linear spaces
    AS Serdyuk, AL Shidlich
    arXiv preprint arXiv:2104.04252 , 2021
    2021
    Citations: 5

MOST CITED SCHOLAR PUBLICATIONS

  • Exact Constants in Direct and Inverse Approximation Theorems for Functions of Several Variables in the Spaces Sp
    FG Abdullayev, P Ozkartepe, VV Savchuk, AL Shidlich
    Filomat 33 (5), 1471-1484 , 2019
    2019
    Citations: 30
  • Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓢 M
    S Chaichenko, A Shidlich, F Abdullayev
    Mathematica Slovaca 69 (6), 1367-1380 , 2019
    2019
    Citations: 25
  • Approximation of functions of several variables by linear methods in the space
    VV Savchuk, AL Shidlich
    Acta Sci. Math. (Szeged) 80, 477–489 , 2014
    2014
    Citations: 25
  • On relationship between classes of -differentiable functions and Gevrey classes
    AI Stepanets, AS Serdyuk, AL Shidlich
    Ukrainian Mathematical Journal 61 (1), 171-177 , 2009
    2009
    Citations: 22
  • Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces
    F Abdullayev, S Chaichenko, A Shidlich
    Mathematical Inequalities & Applications 24 (2), 323–336 , 2021
    2021
    Citations: 18
  • Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent
    F Abdullayev, S Chaichenko, M Imash kyzy, A Shidlich
    Turkish Journal of Mathematics 44 (1), 284-299 , 2020
    2020
    Citations: 18
  • Approximation of functions by linear summation methods in the Orlicz-type spaces
    S Chaichenko, V Savchuk, A Shidlich
    Journal of Mathematical Sciences 249 (5), 705-719 , 2020
    2020
    Citations: 17
  • On some new criteria for infinite differentiability of periodic functions
    AI Stepanets, AS Serdyuk, AL Shidlich
    Dokl. Nats. Akad. Nauk Ukraine, 22-26 , 2008
    2008
    Citations: 17
  • Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces
    F Abdullayev, S Chaichenko, M Imashkyzy, A Shidlich
    Rocky Mountain Journal of Mathematics 51 (4), 1143-1155 , 2021
    2021
    Citations: 16
  • Approximative properties of diagonal operators in Orlicz spaces
    AL Shidlich, SO Chaichenko
    Numerical Functional Analysis and Optimization 36 (10), 1339-1352 , 2015
    2015
    Citations: 14
  • Extremal problems for integrals of nonnegative functions
    AI Stepanets, AL Shidlich
    Izv. Ross. Akad. Nauk Ser. Mat. 74 (3), 169--224 , 2010
    2010
    Citations: 14
  • Best approximations of integrals by integrals of finite rank
    AI Stepanets, AL Shidlich
    Journal of Approximation Theory 162 (2), 323-348 , 2010
    2010
    Citations: 14
  • Extremal problems for integrals of nonnegative functions.
    AI Stepanets, AL Shidlich
    Dokl. Nats. Akad. Nauk Ukraine, 22–26 , 2008
    2008
    Citations: 14
  • Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces
    F Abdullayev, A Serdyuk, A Shidlich
    arXiv preprint arXiv:2005.05597 , 2020
    2020
    Citations: 13
  • Best n-term approximations by Λ-methods in the spaces
    OI Stepanets', AL Shydlich
    Ukrainian Mathematical Journal 55 (8), 1338-1362 , 2003
    2003
    Citations: 13
  • Direct and inverse theorems on the approximation of 2π-periodic functions by Taylor–Abel–Poisson operators
    J Prestin, VV Savchuk, AL Shidlich
    Ukrainian Mathematical Journal 69 (5), 766-781 , 2017
    2017
    Citations: 12
  • Classification of infinitely differentiable periodic functions
    AI Stepanets, AS Serdyuk, AL Shidlich
    Ukrainian Mathematical Journal 60 (12), 1982-2005 , 2008
    2008
    Citations: 12
  • Approximation theorems for multivariate Taylor-Abel-Poisson means
    J Prestin, V Savchuk, A Shidlich
    arXiv preprint arXiv:1901.06275 , 2019
    2019
    Citations: 11
  • Direct and inverse approximation theorems in the Besicovitch–Musielak–Orlicz spaces of almost periodic functions
    SO Chaichenko, TV Shulyk, AL Shidlich
    Український математичний журнал 74 (5), 701-716 , 2022
    2022
    Citations: 8
  • On one extremal problem for positive series
    OI Stepanets’, AL Shydlich
    Ukrainian Mathematical Journal 57 (12), 1968-1976 , 2005
    2005
    Citations: 8