Best Approximations by Vector-Valued Monotone Increasing or Convex Functions

Autor:	A. Nishi, Kazuaki Kitahara
Rok vydání:	1993
Předmět:	Combinatorics Monotone polygon Applied Mathematics Norm (mathematics) Mathematical analysis Bounded variation Banach space Uniqueness Convex function Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 172:166-178
ISSN:	0022-247X
DOI:	10.1006/jmaa.1993.1014
Popis:	Let ( E , || · ||) be an ordered Banach space over the real held. Let BV be the space of all E -valued functions on a compact interval [ a , b ] ⊂ R which are of bounded variation. When BV is endowed with a norm || f || v = || f ( a )|| + v ( f ), f ∈ BV , where v ( f ) is a total variation of f on [ a , b ], we are concerned with the existence and uniqueness of best approximations by monotone increasing or convex functions of BV .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9569615b025b8fbad617bd62173b4983 https://doi.org/10.1006/jmaa.1993.1014 Zobrazit plný text záznamu