Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2012, Volume 91, Issue 1, Pages 74–78
DOI: https://doi.org/10.4213/mzm8907 (Mi mzm8907) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Construction of Convex Functions

T. Konderla

Mathematical Institute, Silesian University in Opava, Opava, Czech Republic
Full-text PDF (408 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8907
Abstract: We describe a construction of convex functions on infinite-dimensional spaces and apply this construction to give an illustration to a theorem of Borwein–Fabian from [1]. Namely, we give a simple explicit example of a continuous convex function on $l_p$, $p\ge 1$, which is everywhere compactly differentiable, but not Fréchet differentiable at zero.
Keywords: topological vector space, normed space, convex function, Fréchet differentiability, Gâteaux differentiability, compact differentiability.
Received: 13.04.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 1, Pages 65–68
DOI: https://doi.org/10.1134/S0001434612010075
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.98
Language: Russian
Citation: T. Konderla, “A Construction of Convex Functions”, Mat. Zametki, 91:1 (2012), 74–78; Math. Notes, 91:1 (2012), 65–68
Citation in format AMSBIB
\Bibitem{Kon12}
\by T.~Konderla
\paper A Construction of Convex Functions
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 1
\pages 74--78
\mathnet{http://mi.mathnet.ru/mzm8907}
\crossref{https://doi.org/10.4213/mzm8907}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201394}
\elib{https://elibrary.ru/item.asp?id=20731465}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 1
\pages 65--68
\crossref{https://doi.org/10.1134/S0001434612010075}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478400007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857577949}
Linking options:
  • https://www.mathnet.ru/eng/mzm8907
  • https://doi.org/10.4213/mzm8907
  • https://www.mathnet.ru/eng/mzm/v91/i1/p74
    • 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
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024