Infinitely differemtiable functions with prescribed derivatives at a point
Mots-clés :
Series de Fourier, teorema de Pólya, funciones reales, conjunto (es)Fourier series Pólya theorem, real functions, set (en)
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Usando series de Fourier y un teorema de Pólya, se da una nueva demostración de la existencia de funciones reales, infinitas veces diferenciables en una vecindad de 0, tales que sus derivadas f(n) (0), n = 0,1,2, ..., toman cualquier conjunto prefijado de valores.
The existence of functions mentioned in the title is proved via the existence of their Fourier series.
Comment citer
APA
Albian, A. (1983). Infinitely differemtiable functions with prescribed derivatives at a point. Revista Colombiana de Matemáticas, 17(3-4), 99–103. https://revistas.unal.edu.co/index.php/recolma/article/view/32532
ACM
[1]
Albian, A. 1983. Infinitely differemtiable functions with prescribed derivatives at a point. Revista Colombiana de Matemáticas. 17, 3-4 (juill. 1983), 99–103.
ACS
(1)
Albian, A. Infinitely differemtiable functions with prescribed derivatives at a point. rev.colomb.mat 1983, 17, 99-103.
ABNT
ALBIAN, A. Infinitely differemtiable functions with prescribed derivatives at a point. Revista Colombiana de Matemáticas, [S. l.], v. 17, n. 3-4, p. 99–103, 1983. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32532. Acesso em: 22 janv. 2025.
Chicago
Albian, Alexander. 1983. « Infinitely differemtiable functions with prescribed derivatives at a point ». Revista Colombiana De Matemáticas 17 (3-4):99-103. https://revistas.unal.edu.co/index.php/recolma/article/view/32532.
Harvard
Albian, A. (1983) « Infinitely differemtiable functions with prescribed derivatives at a point », Revista Colombiana de Matemáticas, 17(3-4), p. 99–103. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32532 (Consulté le: 22 janvier 2025).
IEEE
[1]
A. Albian, « Infinitely differemtiable functions with prescribed derivatives at a point », rev.colomb.mat, vol. 17, nᵒ 3-4, p. 99–103, juill. 1983.
MLA
Albian, A. « Infinitely differemtiable functions with prescribed derivatives at a point ». Revista Colombiana de Matemáticas, vol. 17, nᵒ 3-4, juillet 1983, p. 99-103, https://revistas.unal.edu.co/index.php/recolma/article/view/32532.
Turabian
Albian, Alexander. « Infinitely differemtiable functions with prescribed derivatives at a point ». Revista Colombiana de Matemáticas 17, no. 3-4 (juillet 1, 1983): 99–103. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32532.
Vancouver
1.
Albian A. Infinitely differemtiable functions with prescribed derivatives at a point. rev.colomb.mat [Internet]. 1 juill. 1983 [cité 22 janv. 2025];17(3-4):99-103. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32532
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© Revista Colombiana de Matemáticas 1983
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.