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Croatian Operational Research Review, Vol. 5 No. 1, 2014.

Izvorni znanstveni članak

Modelling with twice continuously differentiable functions

Sanjo Zlobec ; McGill University, Montreal, Canada

Puni tekst: engleski, pdf (193 KB) str. 1-13 preuzimanja: 702* citiraj
APA 6th Edition
Zlobec, S. (2014). Modelling with twice continuously differentiable functions. Croatian Operational Research Review, 5 (1), 1-13. Preuzeto s https://hrcak.srce.hr/120188
MLA 8th Edition
Zlobec, Sanjo. "Modelling with twice continuously differentiable functions." Croatian Operational Research Review, vol. 5, br. 1, 2014, str. 1-13. https://hrcak.srce.hr/120188. Citirano 23.02.2019.
Chicago 17th Edition
Zlobec, Sanjo. "Modelling with twice continuously differentiable functions." Croatian Operational Research Review 5, br. 1 (2014): 1-13. https://hrcak.srce.hr/120188
Harvard
Zlobec, S. (2014). 'Modelling with twice continuously differentiable functions', Croatian Operational Research Review, 5(1), str. 1-13. Preuzeto s: https://hrcak.srce.hr/120188 (Datum pristupa: 23.02.2019.)
Vancouver
Zlobec S. Modelling with twice continuously differentiable functions. Croatian Operational Research Review [Internet]. 2014 [pristupljeno 23.02.2019.];5(1):1-13. Dostupno na: https://hrcak.srce.hr/120188
IEEE
S. Zlobec, "Modelling with twice continuously differentiable functions", Croatian Operational Research Review, vol.5, br. 1, str. 1-13, 2014. [Online]. Dostupno na: https://hrcak.srce.hr/120188. [Citirano: 23.02.2019.]

Sažetak
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.

Ključne riječi
twice continuously differentiable function; zero derivative point; separation property of functions; Cobb-Douglas production function; least squares solution; Newton’s second law

Hrčak ID: 120188

URI
https://hrcak.srce.hr/120188

Posjeta: 886 *