Title :
On the monotonicity property of the Monge-Ampere type operator of convex functions on the anisotropic Heisenberg group
Author_Institution :
Hubei Vocational Tech. Coll., Xiaogan, China
Abstract :
We prove the monotonicity property of the Monge-Ampere type operator for a class of σ2 -convex functions on the anisotropic Heisenberg group via using integration by parts based upon the structure of the group.
Keywords :
Algebra; Anisotropic magnetoresistance; Automation; Chromium; Educational institutions; Geometry; Hydrogen; Mechatronics; Nonlinear equations; Stochastic processes; Monge-Ampere type operator; anisotropic Heisenberg group; convex function; monotonicity property;
Conference_Titel :
Industrial Mechatronics and Automation (ICIMA), 2010 2nd International Conference on
Conference_Location :
Wuhan, China
Print_ISBN :
978-1-4244-7653-4
DOI :
10.1109/ICINDMA.2010.5538316
