Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-29T07:51:38.621Z Has data issue: false hasContentIssue false

Two gradient properties of explicitly convex functions

Published online by Cambridge University Press:  09 April 2009

Xinmin Yang
Affiliation:
Department of Mathematics, Chongqing Normal University, Chongqing 630047, China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, two gradient properties of explicit convex functions are given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Bazaraa, M. S. and Shetty, C. M., Nonlinear programming: Theory and algorithms (Wiley, New York, 1979).Google Scholar
[2]Karamardian, S. and Schaible, S., ‘Seven kinds of monotone maps’, J. Optim. Theory Appl. 66 (1990), 3746.CrossRefGoogle Scholar
[3]Roberts, A. W. and Varberg, D. E., Convex functions (New York, 1973).Google Scholar
[4]Rockafellar, R. T., Convex analysis (Princeton University Press, Princeton, 1970).CrossRefGoogle Scholar
[5]Xue, S. and Shen, S., ‘Eleven kinds of convexity’, Chinese Journal Oper. Res. 8 (1989), 7275.Google Scholar