Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Multivariate polynomial inequalities via pluripotential theory, subanalytic geometry and Banach algebras

2013/11/B/ST1/03693

Keywords:

polynomial inequalities pluricomplex Green function Siciak extremal function o-minimal structures Banach algebras

Descriptors:

  • ST1_8: Analysis
  • ST1_9: Operator algebras and functional analysis
  • ST1_4: Algebraic and complex geometry

Panel:

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

Host institution :

Uniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie, Wydział Inżynierii Środowiska i Geodezji

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Mirosław Baran 

Number of co-investigators in the project: 4

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 473 670 PLN

Project start date (Y-m-d): 2014-07-08

Project end date (Y-m-d): 2018-06-07

Project duration:: 47 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer stacjonarny (4 000 PLN)
  2. laptop (12 000 PLN)
  3. oprogramowanie: Windows7, Mathematica8, Winedt, Microsoft Office (6 383 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Articles in post-conference publications (1)
  1. A few facts concerning the outstanding Polish mathematician Franciszek Leja
    Authors:
    Marta Kosek
    Academic press:
    Czasopismo Techniczne, Nauki Podstawowe (rok: 2015, tom: 2-NP (20) 2015, strony: 219-234), Wydawca: Politechnika Krakowska
    Status:
    Published
    DOI:
    10.4467/2353737XCT.15.218.4423 - link to the publication
  2. On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets
    Authors:
    Leokadia Białas-Cież, Marta Kosek, Małgorzata Stawiska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 464 (1), strony: 507-530), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.04.029 - link to the publication
  3. Optimal factors in Vladimir Markov's inequality in L_2 norm
    Authors:
    Mirosław Baran, Agnieszka Kowalska, Paweł Ozorka
    Academic press:
    Science, Technology and Innovation (rok: 2018, tom: 2(1), strony: 45302), Wydawca: Państwowa Wyższa Szkoła Zawodowa w Tarnowie
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Polynomial inequalities on certain algebraic hypersurfaces
    Authors:
    Leokadia Białas-Cież, Jean-Paul Calvi, Agnieszka Kowalska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 459 (2), strony: 822-838), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.11.010 - link to the publication
  5. Attractors of compactly generated semigroups of regular polynpmial mappings
    Authors:
    Azza Alghamdi, Maciej Klimek, Marta Kosek
    Academic press:
    Complexity (rok: 2018, tom: Volume 2018, strony: 45302), Wydawca: Hindawi, The Wiley Hindawi Partnership
    Status:
    Published
    DOI:
    10.1155/2018/5698021 - link to the publication
  6. Hölder continuity of the Green function, Markov-type inequality and a capacity related to HCP
    Authors:
    Mirosław Baran, Leokadia Bialas-Ciez
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2014, tom: 7, strony: 16-21), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2014-Special_Issue-4 - link to the publication
  7. On the behaviour of constants in some polynomial inequalities
    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    Annales Polonici Mathematici (rok: 2019, tom: 123, strony: 43-60), Wydawca: Instytut Matematyczny PAN, Warszawa
    Status:
    Published
    DOI:
    10.4064/ap180803-23-4 - link to the publication
  8. Comments on 'On Hadamard powers of polynomials'
    Authors:
    Stanisław Białas, Leokadia Białas-Cież
    Academic press:
    Mathematics of Control, Signals, and Systems (rok: 2017, tom: 1,21944444444444, strony: 45301), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00498-017-0202-0 - link to the publication
  9. Polynomial inequalities in Lp norms with generalized Jacobi weights
    Authors:
    Leokadia Białas-Cież, Grzegorz Sroka
    Academic press:
    Mathematical Inequalities & Applications (rok: 2019, tom: 22 (1), strony: 261-274), Wydawca: Element d.o.o, Zagreb
    Status:
    Published
    DOI:
    10.7153/mia-2019-22-20 - link to the publication
  10. Complete invariance and compactness of the filled Julia sets of polynomial maps in CN
    Authors:
    Marta Kosek
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2017, tom: 111(4), strony: 1223-1231), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s13398-016-0342-y - link to the publication
  11. Identities for a derivation operator and their applications
    Authors:
    Mirosław Baran, Agnieszka Kowalska, Beata Milówka, Paweł Ozorka
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2015, tom: 8, strony: 102-110), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2015-Special_Issue-10 - link to the publication
  12. Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function
    Authors:
    Leokadia Bialas-Ciez, Raimondo Eggink
    Academic press:
    Journal of Approximation Theory (rok: 2016, tom: 207, strony: 46-59), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2016.02.011 - link to the publication
  13. Convexity properties related to extremal functions
    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    arXiv , Wydawca: arXiv.org
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Spectral norms in spaces of polynomials
    Authors:
    Mirosław Baran, Agnieszka Kowalska
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Selected open problems in polynomial approximation and potential theory
    Authors:
    Mirosław Baran, Leokadia Białas-Cież, Raimondo Eggink, Agnieszka Kowalska, Bela Nagy, Rafał Pierzchała
    Conference:
    4th Dolomites Workshop on Constructive Approximation and Applications (rok: 2017, ), Wydawca: Padova University Press
    Data:
    konferencja 8-13 września 2016
    Status:
    Published
    DOI:
    link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy