Separation property of continuously differentiable functions

Autor:	Sanjo Zlobec
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	function separation property method of convexification convexifier concavifier global properties of the gradient zero-derivative point
Zdroj:	Mathematical Communications Volume 19 Issue 1
ISSN:	1848-8013 1331-0623
Popis:	We show that every continuously differentiable function in several variables with a global Lipschitz derivative on a compact convex set with interior points has a separation property. It separates two classes of quadratic functions given in terms of either the function's convexifiers or its concavifiers. The separation is used to obtain new global characterizations of the derivative and zero derivative points.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od_______951::9a3e4a70847bf58995fbff8013a0b18f https://hrcak.srce.hr/file/180204 Zobrazit plný text záznamu