hrcak mascot   Srce   HID

Original scientific paper

Separation property of continuously differentiable functions

Sanjo Zlobec ; Department of Mathematics and Statistics, McGill University, Burnside Hall, Montreal, Quebec, Canada

Fulltext: english, pdf (807 KB) pages 57-64 downloads: 314* cite
APA 6th Edition
Zlobec, S. (2014). Separation property of continuously differentiable functions. Mathematical Communications, 19 (1), 57-64. Retrieved from https://hrcak.srce.hr/121825
MLA 8th Edition
Zlobec, Sanjo. "Separation property of continuously differentiable functions." Mathematical Communications, vol. 19, no. 1, 2014, pp. 57-64. https://hrcak.srce.hr/121825. Accessed 24 Jun. 2021.
Chicago 17th Edition
Zlobec, Sanjo. "Separation property of continuously differentiable functions." Mathematical Communications 19, no. 1 (2014): 57-64. https://hrcak.srce.hr/121825
Harvard
Zlobec, S. (2014). 'Separation property of continuously differentiable functions', Mathematical Communications, 19(1), pp. 57-64. Available at: https://hrcak.srce.hr/121825 (Accessed 24 June 2021)
Vancouver
Zlobec S. Separation property of continuously differentiable functions. Mathematical Communications [Internet]. 2014 [cited 2021 June 24];19(1):57-64. Available from: https://hrcak.srce.hr/121825
IEEE
S. Zlobec, "Separation property of continuously differentiable functions", Mathematical Communications, vol.19, no. 1, pp. 57-64, 2014. [Online]. Available: https://hrcak.srce.hr/121825. [Accessed: 24 June 2021]

Abstracts
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.

Keywords
function separation property; method of convexification; convexifier; concavifier; global properties of the gradient; zero-derivative point

Hrčak ID: 121825

URI
https://hrcak.srce.hr/121825

Visits: 476 *