Infinitely differemtiable functions with prescribed derivatives at a point
Palabras clave:
Series de Fourier, teorema de Pólya, funciones reales, conjunto (es)Fourier series Pólya theorem, real functions, set (en)
Descargas
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.
Cómo citar
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 (jul. 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 ene. 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), pp. 99–103. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32532 (Accedido: 22 enero 2025).
IEEE
[1]
A. Albian, «Infinitely differemtiable functions with prescribed derivatives at a point», rev.colomb.mat, vol. 17, n.º 3-4, pp. 99–103, jul. 1983.
MLA
Albian, A. «Infinitely differemtiable functions with prescribed derivatives at a point». Revista Colombiana de Matemáticas, vol. 17, n.º 3-4, julio de 1983, pp. 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 (julio 1, 1983): 99–103. Accedido enero 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 de julio de 1983 [citado 22 de enero de 2025];17(3-4):99-103. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32532
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Derechos de autor 1983 Revista Colombiana de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.