Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 1, Pages 167–179
DOI: https://doi.org/10.33048/smzh.2022.63.111 (Mi smj7648) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Extremal problems of Bernstein-type and an operator preserving inequalities between polynomials

G. V. Milovanovichab, A. Mirc, A. Hussainc

a Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia
b The Serbian Academy of Sciences and Arts, Belgrade, Serbia
c Department of Mathematics, University of Kashmir, Srinagar, 190006, India
Full-text PDF (299 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2022.63.111
Abstract: Under consideration are the well-known extremal problems of Bernstein-type which relate the uniform norm between polynomials on the unit disk in the plane. We establish a few new inequalities in both directions for the generalized $\mathcal{B}_n$-operator while accounting for the placement of the zeros of the underlying polynomials. Also, we obtain various estimates for the maximum modulus of a polynomial as well as some inequalities of Erdös–Lax type.
Keywords: polynomial, inequalities in the complex domain, zeros, $N$-operator.
Funding agency Grant number
Serbian Academy of Sciences and Arts 96
The first author was partly supported by the Serbian Academy of Sciences and Arts (Project \( \Phi \)-96).
Received: 05.02.2021
Revised: 06.06.2021
Accepted: 11.10.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 1, Pages 138–148
DOI: https://doi.org/10.1134/S0037446622010116
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: G. V. Milovanovich, A. Mir, A. Hussain, “Extremal problems of Bernstein-type and an operator preserving inequalities between polynomials”, Sibirsk. Mat. Zh., 63:1 (2022), 167–179; Siberian Math. J., 63:1 (2022), 138–148
Citation in format AMSBIB
\Bibitem{MilMirHus22}
\by G.~V.~Milovanovich, A.~Mir, A.~Hussain
\paper Extremal problems of Bernstein-type and an operator preserving inequalities between polynomials
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 1
\pages 167--179
\mathnet{http://mi.mathnet.ru/smj7648}
\crossref{https://doi.org/10.33048/smzh.2022.63.111}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4440272}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 1
\pages 138--148
\crossref{https://doi.org/10.1134/S0037446622010116}
Linking options:
  • https://www.mathnet.ru/eng/smj7648
  • https://www.mathnet.ru/eng/smj/v63/i1/p167
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:121
    Full-text PDF :49
    References:30
    First page:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024