Quasi-convex functions and Hadamard's inequality

被引：83

作者：

Dragomir, SS

Pearce, CEM

机构：

[1] Univ Transkei, Dept Math Appl, ZA-5100 Umtata, South Africa

[2] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1998年 / 57卷 / 03期

关键词：

D O I：

10.1017/S0004972700031786

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some extensions of quasi-convexity appearing in the literature are explored and relations found between them. Hadamard's inequality is connected tenaciously with convexity and versions of it are shown to hold in our setting. Our theorems extend and unify a number of known results. In particular, we derive a generalised Kenyon-Klee theorem.

引用

页码：377 / 385

页数：9

共 12 条

[1]

[Anonymous], ANAL NUM THER APPROX

[2]

Dragomir S. S., 1995, Soochow J Math, V21, P335

[3]

Dragomir S.S., 1992, Mat. Balk, V6, P215, DOI [10.1017/S0004972700031786, DOI 10.1017/S0004972700031786]

[4] 2 MAPPINGS IN CONNECTION TO HADAMARDS INEQUALITIES [J].