Characterisation ofLp-norms via Hölder’s inequality

Autor:	Michał Lewicki, Tomasz Kochanek
Rok vydání:	2013
Předmět:	Kantorovich inequality Hölder's inequality Young's inequality Pure mathematics Applied Mathematics Mathematical analysis Ky Fan inequality Log sum inequality Rearrangement inequality Minkowski inequality Cauchy–Schwarz inequality Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 399:403-410
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2012.10.016
Popis:	We characterise L p -norms on the space of integrable step functions, defined on a probabilistic space, via a Holder type of inequality with an optimality condition.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2b90d41b2015ec10cec02c1b07252f3b https://doi.org/10.1016/j.jmaa.2012.10.016 Zobrazit plný text záznamu Full Text from ScienceDirect