Volume 4,  Issue 1, 2003

Article 13

HADAMARD-TYPE INEQUALITIES FOR QUASICONVEX FUNCTIONS

N. HADJISAVVAS

DEPARTMENT OF PRODUCT AND SYSTEMS DESIGN ENGINEERING
UNIVERSITY OF THE AEGEAN
84100 HERMOUPOLIS, SYROS
GREECE.
E-Mail: nhad@aegean.gr
URL: http://www.syros.aegean.gr/users/nhad/

Received 3 December, 2002; Accepted 19 December, 2002.
Communicated by: A.M. Rubinov

ABSTRACT.   Recently Hadamard-type inequalities for nonnegative, evenly quasiconvex functions which attain their minimum have been established. We show that these inequalities remain valid for the larger class containing all nonnegative quasiconvex functions, and show equality of the corresponding Hadamard constants in case of a symmetric domain.
Key words:
Quasiconvex function, Hadamard inequality.

2000 Mathematics Subject Classification:
26D15, 26B25, 39B62.

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