Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 244–250 (Mi timm1245)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Szego — Taikov inequality for conjugate trigonometric polynomials

A. O. Serkov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Full-text PDF (155 kB) Citations (1)
References:
PDF
HTML
Abstract: In 1943, Szego found the best constant and all extremal polynomials in the inequality between the uniform norm of a conjugate trigonometric polynomial and the norm of the polynomial with real coefficients. In 1990, Taikov also found the best constant by means of another method. In the present paper, we describe all extremal polynomials with complex coefficients and discuss some properties of the extremal polynomials.
Keywords: trigonometric polynomial, conjugate polynomial, uniform norm, interpolation foumula.
Received: 22.12.2015
Bibliographic databases:
Document Type: Article
UDC: 517.518.86
Language: Russian
Citation: A. O. Serkov, “On the Szego — Taikov inequality for conjugate trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 244–250
Citation in format AMSBIB
\Bibitem{Ser15}
\by A.~O.~Serkov
\paper On the Szego --- Taikov inequality for conjugate trigonometric polynomials
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 244--250
\mathnet{http://mi.mathnet.ru/timm1245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468446}
\elib{https://elibrary.ru/item.asp?id=25301001}
Linking options:
  • https://www.mathnet.ru/eng/timm1245
  • https://www.mathnet.ru/eng/timm/v21/i4/p244
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024