GENERALIZED 2ND-ORDER CHARACTERIZATIONS OF CONVEX-FUNCTIONS

Authors
YANG XQ
Citation
Xq. Yang, GENERALIZED 2ND-ORDER CHARACTERIZATIONS OF CONVEX-FUNCTIONS, Journal of optimization theory and applications, 82(1), 1994, pp. 173-180
Citations number
8
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
82
Issue
1
Year of publication
1994
Pages
173 - 180
Database
ISI
SICI code
0022-3239(1994)82:1<173:G2COC>2.0.ZU;2-B
Abstract
We introduce a second-order upper Dini-directional derivative and obta in a second-order characterization for a continuously Gateaux differen tiable function to be a convex function.