Bernstein's analyticity theorem for quantum differences
2007 (English)In: Czechoslovak Mathematical Journal, ISSN 0011-4642, Vol. 57, no 1, 67-73 p.Article in journal (Refereed) Published
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.
quantum difference, quantum derivative, analyticity
Research subject Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-8231OAI: oai:DiVA.org:umu-8231DiVA: diva2:147902