Modelling with twice continuously differentiable functions

Autor:	Sanjo Zlobec
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	twice continuously differentiable function zero derivative point separation property of functions Cobb-Douglas production function least squares solution Newton’s second law Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Croatian Operational Research Review, Vol 5, Iss 1, Pp 1-13 (2014)
Druh dokumentu:	article
ISSN:	1848-0225 1848-9931
Popis:	Many real life situations can be described using twice continuously differentiable functions over convex sets with interior points. Such functions have an interesting separation property: At every interior point of the set they separate particular classes of quadratic convex functions from classes of quadratic concave functions. Using this property we introduce new characterizations of the derivative and its zero points. The results are applied to the study of sensitivity of the Cobb-Douglas production function. They are also used to describe the least squares solutions in linear and nonlinear regression.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2c23c3152a994c409c4a2996de9e1d57 Zobrazit plný text záznamu View record in DOAJ