Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Constructive Approximation on Algebraic Sets

2017/25/B/ST1/00906

Keywords:

approximation Jackson's theorem Bernstein's theorem Nikolskii's inequalities division type inequalities admissible meshes

Descriptors:

  • ST1_8:

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

woj. 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 (Y-m-d): 2018-02-14

Project end date (Y-m-d): 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. Kolmogorov and Markov type inequalities on certain algebraic varieties
    Authors:
    Tomasz Beberok
    Academic press:
    Analysis Mathematica (rok: 2023, tom: 49, strony: 681-697), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10476-023-0224-4 - link to the publication
  2. Lp Markov exponent of certain domains with cusps
    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notices on Approximation (rok: 2021, tom: 14, strony: 45853), Wydawca: Universty of Padova
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2021-3-2 - link to the publication
  3. Around some extremal problems for multivariate polynomials
    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2024, tom: 17, strony: 114-126), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-13 - link to the publication
  4. On Lp Markov type inequality for some cuspidal domains
    Authors:
    Tomasz Beberok
    Academic press:
    Mathematical Inequalities and Applications (rok: 2023, tom: 26, strony: 295-314), Wydawca: Ele-Math
    Status:
    Published
    DOI:
    10.7153/mia-2023-26-20 - link to the publication
  5. Sharp Lp Bernstein type inequalities for certain cuspidal domains
    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2024, tom: 17, strony: 127-133), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-14 - 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 (rok: 2019, tom: 7, strony: 26-29), Wydawca: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0013.7275 - link to the publication
  7. On certain weighted Schur type inequalities
    Authors:
    Tomasz Beberok
    Academic press:
    Science, Technology and Innovation (rok: 2022, tom: 16, strony: 44-51), Wydawca: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.55225/sti.463 - link to the publication
  8. Note on admissible meshes on ball and simplex via Dubiner metric
    Authors:
    Leokadia Białas-Cież, Mateusz Suder
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2024, tom: 17, strony: 89-96), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2024-3-11 - link to the publication
  9. 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 (rok: 2020, tom: 481, strony: 123460), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123460 - link to the publication
  10. Lp Markov exponent of certain UPC sets
    Authors:
    Tomasz Beberok
    Academic press:
    Zeitschrift für Analysis und ihre Anwendungen (rok: 2022, tom: 41, strony: 153-166), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/ZAA/1700 - link to the publication
  11. Markov's inequality and C^∞ functions on certain algebraic hypersurfaces
    Authors:
    Tomasz Beberok
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (rok: 2020, tom: 43, strony: 4303-4314), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40840-020-00924-9 - link to the publication
  12. On Rational Functions Related to Algorithms for a Computation of Roots I
    Authors:
    Mirosław Baran
    Academic press:
    Science, Technology and Innovation (rok: 2019, tom: 7, strony: 17-25), Wydawca: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0013.7274 - link to the publication
  13. On the homogeneous extremal function for the standard simplex
    Authors:
    Mirosław Baran
    Academic press:
    Science, Technology and Innovation (rok: 2018, tom: 3, strony: 35-42), Wydawca: Wydawnictwo PWSZ w Tarnowie
    Status:
    Published
    DOI:
    10.5604/01.3001.0012.8154 - link to the publication
  14. Markov and division inequalities on algebraic sets
    Authors:
    Leokadia Białas-Cież, Jean-Paul Calvi, Agnieszka Kowalska
    Academic press:
    Results in Mathematics (rok: 2024, tom: 79, strony: 135, 22 pages), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-024-02153-z - link to the publication
  15. 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 (rok: 2024, tom: 60, strony: 428-445), Wydawca: Kent State University and the Radon Institute for Computational and Applied Mathematics (RICAM)
    Status:
    Published
    DOI:
    10.1553/etna_vol60s428 - link to the publication
  16. 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 (rok: 2024, tom: 683, strony: 111-124), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2023.11.022 - link to the publication
  17. 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 (rok: 2024, tom: 443, strony: 115766), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2024.115766 - link to the publication
  18. On extremal functions and V. Markov type polynomial inequality for certain subsets of R^N
    Authors:
    Mirosław Baran, Grzegorz Sroka
    Academic press:
    Constructive Approximation (rok: 2024, tom: 60, strony: 135-163), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-023-09653-1 - link to the publication
  19. 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 (rok: 2021, tom: 14, strony: 16-26), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2021-3-3 - link to the publication
  20. On the behaviour of constants in some polynomial inequalities
    Authors:
    Mirosław Baran i Leokadia Białas-Cież
    Academic press:
    Annales Polonici Mathematici (rok: 2019, tom: 123, strony: 43-60), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/ap180803-23-4 - link to the publication
  21. Markov's inequality on some cuspidal domains in the Lp norm
    Authors:
    Tomasz Beberok
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2020, tom: 13, strony: 46010), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/PUPJ-DRNA-2020-1-2 - link to the publication

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