Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 33–45 (Mi ivm8592)  
This article is cited in 5 scientific papers (total in 5 papers)

Integral bounds for simple partial fractions

I. R. Kayumov

Chebotaryov Research Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (226 kB) Citations (5)
References:
PDF
HTML
Abstract: For $p\ge2$ we obtain bounds of $L_p$-norms of the Fourier transform of real parts of simple partial fractions. For even $p$ our estimate is sharp. We also prove a new inequality for $L_p$-norms of simple partial fractions which in some cases is stronger than the corresponding inequality obtained by V. Yu. Protasov.
Keywords: simple partial fractions, Fourier transform, Hausdorff–Young inequality, Dirichlet series.
Received: 25.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 4, Pages 27–37
DOI: https://doi.org/10.3103/S1066369X12040044
Bibliographic databases:
Document Type: Article
UDC: 517.538+517.444
Language: Russian
Citation: I. R. Kayumov, “Integral bounds for simple partial fractions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 33–45; Russian Math. (Iz. VUZ), 56:4 (2012), 27–37
Citation in format AMSBIB
\Bibitem{Kay12}
\by I.~R.~Kayumov
\paper Integral bounds for simple partial fractions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 4
\pages 33--45
\mathnet{http://mi.mathnet.ru/ivm8592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076539}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 4
\pages 27--37
\crossref{https://doi.org/10.3103/S1066369X12040044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862726918}
Linking options:
  • https://www.mathnet.ru/eng/ivm8592
  • https://www.mathnet.ru/eng/ivm/y2012/i4/p33
    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025