Infinitely differemtiable functions with prescribed derivatives at a point

Alexander Albian

Published

1983-07-01

Infinitely differemtiable functions with prescribed derivatives at a point

Keywords:

Series de Fourier, teorema de Pólya, funciones reales, conjunto (es)
Fourier series Pólya theorem, real functions, set (en)

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Authors

Alexander Albian Iowa State University

Abstract (es)
Abstract (en)

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.

How to Cite

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: 2 feb. 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. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32532 (Accessed: 2 February 2025).

IEEE

[1]

A. Albian, “Infinitely differemtiable functions with prescribed derivatives at a point”, rev.colomb.mat, vol. 17, no. 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, no. 3-4, July 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 (July 1, 1983): 99–103. Accessed February 2, 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]. 1983 Jul. 1 [cited 2025 Feb. 2];17(3-4):99-103. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/32532