A note on continuous sums of ridge functions

Autor:	Vugar E. Ismailov, Aysel A. Asgarova, Rashid A. Aliev
Rok vydání:	2019
Předmět:	Numerical Analysis Multivariate statistics Applied Mathematics General Mathematics 010102 general mathematics Geometry 010103 numerical & computational mathematics Function (mathematics) 0101 mathematics Ridge (differential geometry) 01 natural sciences Analysis Mathematics
Zdroj:	Journal of Approximation Theory. 237:210-221
ISSN:	0021-9045
DOI:	10.1016/j.jat.2018.09.006
Popis:	In this paper we prove that if a continuous multivariate function is represented by a sum of arbitrarily behaved ridge functions, then, under a suitable condition, it can be represented by a sum of continuous ridge functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c10fb94ae0f693508a4f842c4ec20983 https://doi.org/10.1016/j.jat.2018.09.006 Zobrazit plný text záznamu Full Text from ScienceDirect