OPERATION PROPERTIES OF r-CONVEX FUNCTIONS
Yang Xiaoqi
DOI:10.11835/j.issn.1674-4764.1989.02.010
Received ,Revised , Accepted , Available online July 01, 2015
Volume ,1989,Pages -
- Abstract
Generalized convex function is a generalization of convex func-tion,including pseudoconvex function,quasiconvex function,r-convex function,etc.The properties and operation properties of generalized convex functionplay an imporant role in generalized convex programming.Xue Jiasheng discu-sed the constructive method of pseudoconvex function;J.P.Crouzeix dicussedthe properties of quasiconvex function.This paper only discusses a class ofgeneralized convex function,r-convex functions.