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Quasi-convex functions and Hadamard's inequality

Published online by Cambridge University Press:  17 April 2009

S.S. Dragomir  and
C.E.M. Pearce
S.S. Dragomir
Affiliation:
Applied Mathematics DepartmentUniversity of Transkei, UNITRAPrivate Bag XIUmtata 5100South Africa
C.E.M. Pearce
Affiliation:
Department of Applied MathematicsThe University of Adelaide, Adelaide SA 5005Australia
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 377 - 385
Copyright
Copyright © Australian Mathematical Society 1998

References

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