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Constructive Approximation on Algebraic Sets

2017/25/B/ST1/00906

Keywords

Descriptors

  • ST1_8: Analiza

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Leokadia Białas-Cież

Number of co-investigators in the project: 3

Call

OPUS 13 – announced on 2017-03-15

Amount awarded
299 016 PLN
Project start date
2018-02-14
Project end date
2023-02-13
Project duration
60 months (the same as in the proposal)
Project status
Project settled

Project description

Download the project description in a pdf file

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

Publication in academic press/journals (21)

  1. On Lp Markov type inequality for some cuspidal domains

    Authors:
    Tomasz Beberok
    Academic press:
    Mathematical Inequalities and Applications (year: 2023, volume: 26, pages: 295-314), Publisher: Ele-Math
    Status:
    Published
    DOI:
    10.7153/mia-2023-26-20 – link to the publication

  2. Kolmogorov and Markov type inequalities on certain algebraic varieties

    Authors:
    Tomasz Beberok
    Academic press:
    Analysis Mathematica (year: 2023, volume: 49, pages: 681-697), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10476-023-0224-4 – link to the publication

  3. Note on admissible meshes on ball and simplex via Dubiner metric

    Authors:
    Leokadia Białas-Cież, Mateusz Suder
    Academic press:
    Dolomites Research Notes on Approximation (year: 2024, volume: 17, pages: 89-96), Publisher: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-11 – link to the publication

  4. Around some extremal problems for multivariate polynomials

    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    Dolomites Research Notes on Approximation (year: 2024, volume: 17, pages: 114-126), Publisher: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-13 – link to the publication

  5. Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball

    Authors:
    Leokadia Białas-Cież, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello
    Academic press:
    Electronic Transactions on Numerical Analysis (year: 2024, volume: 60, pages: 428-445), Publisher: Kent State University and the Radon Institute for Computational and Applied Mathematics (RICAM)
    Status:
    Published
    DOI:
    10.1553/etna_vol60s428 – link to the publication

  6. On Rational Functions Related to Algorithms for a Computation of Roots II

    Authors:
    Mirosław Baran
    Academic press:
    Science, Technology and Innovation (year: 2019, volume: 7, pages: 26-29), Publisher: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0013.7275 – link to the publication

  7. Bernstein-Chebyshev inequality and Baran's radial extremal function on algebraic sets

    Authors:
    Leokadia Białas-Cież, Agnieszka Kowalska
    Academic press:
    Dolomites Research Notes on Approximation (year: 2021, volume: 14, pages: 16-26), Publisher: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2021-3-3 – link to the publication

  8. On the behaviour of constants in some polynomial inequalities

    Authors:
    Mirosław Baran i Leokadia Białas-Cież
    Academic press:
    Annales Polonici Mathematici (year: 2019, volume: 123, pages: 43-60), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/ap180803-23-4 – link to the publication

  9. On the Hurwitz stability of noninteger Hadamard powers of stable polynomials

    Authors:
    Stanisław Białas, Leokadia Białas-Cież, Michał Kudra
    Academic press:
    Linear Algebra and Its Applications (year: 2024, volume: 683, pages: 111-124), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2023.11.022 – link to the publication

  10. Markov's inequality on some cuspidal domains in the Lp norm

    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notes on Approximation (year: 2020, volume: 13, pages: 46375), Publisher: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2020-1-2 – link to the publication

  11. Sharp Lp Bernstein type inequalities for certain cuspidal domains

    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notes on Approximation (year: 2024, volume: 17, pages: 127-133), Publisher: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-14 – link to the publication

  12. Compact vectorial Toeplitz operators on the Segal-Bargmann space

    Authors:
    Tomasz Beberok, Piotr Budzyński, Dong-O Kang
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2020, volume: 481, pages: 123460), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123460 – link to the publication

  13. On Rational Functions Related to Algorithms for a Computation of Roots I

    Authors:
    Mirosław Baran
    Academic press:
    Science, Technology and Innovation (year: 2019, volume: 7, pages: 17-25), Publisher: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0013.7274 – link to the publication

  14. Lp Markov exponent of certain domains with cusps

    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notices on Approximation (year: 2021, volume: 14, pages: 46218), Publisher: Universty of Padova
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2021-3-2 – link to the publication

  15. On the homogeneous extremal function for the standard simplex

    Authors:
    Mirosław Baran
    Academic press:
    Science, Technology and Innovation (year: 2018, volume: 3, pages: 35-42), Publisher: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0012.8154 – link to the publication

  16. On certain weighted Schur type inequalities

    Authors:
    Tomasz Beberok
    Academic press:
    Science, Technology and Innovation (year: 2022, volume: 16, pages: 44-51), Publisher: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.55225/sti.463 – link to the publication

  17. Lp Markov exponent of certain UPC sets

    Authors:
    Tomasz Beberok
    Academic press:
    Zeitschrift für Analysis und ihre Anwendungen (year: 2022, volume: 41, pages: 153-166), Publisher: EMS Press
    Status:
    Published
    DOI:
    10.4171/ZAA/1700 – link to the publication

  18. Markov's inequality and C^∞ functions on certain algebraic hypersurfaces

    Authors:
    Tomasz Beberok
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (year: 2020, volume: 43, pages: 4303-4314), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s40840-020-00924-9 – link to the publication

  19. Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections

    Authors:
    Leokadia Białas-Cież, Dimitri Kenne, Alvise Sommariva, Marco Vianello
    Academic press:
    Journal of Computational and Applied Mathematics (year: 2024, volume: 443, pages: 115766), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2024.115766 – link to the publication

  20. On extremal functions and V. Markov type polynomial inequality for certain subsets of R^N

    Authors:
    Mirosław Baran, Grzegorz Sroka
    Academic press:
    Constructive Approximation (year: 2024, volume: 60, pages: 135-163), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-023-09653-1 – link to the publication

  21. Markov and division inequalities on algebraic sets

    Authors:
    Leokadia Białas-Cież, Jean-Paul Calvi, Agnieszka Kowalska
    Academic press:
    Results in Mathematics (year: 2024, volume: 79, pages: 135, 22 pages), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-024-02153-z – link to the publication

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