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Bernstein's analyticity theorem for quantum differences
Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
2007 (English)In: Czechoslovak Mathematical Journal, ISSN 0011-4642, E-ISSN 1572-9141, Vol. 57, no 1, 67-73 p.Article in journal (Refereed) Published
Abstract [en]

We consider real valued functions f defined on a subinterval I of the positive real axis and prove that if all of f's quantum differences are nonnegative then f has a power series representation on I. Further, if the quantum differences have fixed sign on I then f is analytic on I.

Place, publisher, year, edition, pages
Berlin: Springer Verlag , 2007. Vol. 57, no 1, 67-73 p.
Keyword [en]
quantum difference, quantum derivative, analyticity
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-8231OAI: oai:DiVA.org:umu-8231DiVA: diva2:147902
Available from: 2010-01-19 Created: 2008-06-18 Last updated: 2017-12-14Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf