A divergent weighted orthonormal series of broken line Franklin functions

Autor:	Coke S. Reed
Rok vydání:	1974
Předmět:	Generalized Fourier series Series (mathematics) Applied Mathematics General Mathematics Line (geometry) Mathematical analysis Orthonormal basis Fourier series Mathematics
Zdroj:	Transactions of the American Mathematical Society. 192:23-28
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-1974-0338672-1
Popis:	The purpose of this paper is to define a differentiable function F and an inner product on the space of continuous functions on [0,1] in such a way that the Fourier expansion of F obtained by orthonormalizing the broken line Franklin functions according to this inner product is divergent.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2badbb46a2efcfe2b96a7738869e1ca1 https://doi.org/10.1090/s0002-9947-1974-0338672-1 Zobrazit plný text záznamu