NDLI: A Property of Infinitely Differentiable Functions

Content Provider	Scilit
Author	Bang, Ha Huy
Copyright Year	1990
Description	The existence of ${\lim _{n \to \infty }}\|\|{f^{(n)}}\|\|_p^{1/n}$ for an arbitrary function $f(x) \in {C^\infty }({\mathbf {R}})$ such that ${f^{\left ( n \right )}}(x) \in {L^p}({\mathbf {R}}),n = 0,1, \ldots (1 \leq p \leq \infty )$ and the concrete calculation of ${\lim _{n \to \infty }}\|\|{f^{(n)}}\|\|_p^{1/n}$ are shown.
Related Links	https://www.ams.org/proc/1990-108-01/S0002-9939-1990-1024259-9/S0002-9939-1990-1024259-9.pdf
Ending Page	76
Page Count	4
Starting Page	73
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2047695
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	108
Language	English
Publisher	Duke University Press
Publisher Date	1990-01-01
Access Restriction	Open
Subject Keyword	Logic Differentiable Functions Infinitely Differentiable Lim Infty Concrete Ldots Arbitrary
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Property of Infinitely Differentiable Functions