Jensen's inequality for quasiconvex functions

S. S. Dragomir; C. E. M. Pearce

doi:10.3934/naco.2012.2.279

Article Contents

2012, Volume 2, Issue 2: 279-291. Doi: 10.3934/naco.2012.2.279 open access

This issue Previous Article Some new bounds for two mappings related to the Hermite-Hadamard inequality for convex functions Next Article How to transform matrices $U_1, \ldots, U_p$ to matrices $V_1, \ldots, V_p$ so that $V_i V_j^T= {\mathbb O} $ if $ i \neq j $?

Jensen's inequality for quasiconvex functions

S. S. Dragomir^1, and
C. E. M. Pearce^2,

1.
Mathematics, School of Engineering & Science, Victoria University, Melbourne
2.
School of Mathematical Sciences, The University of Adelaide, Adelaide

Received: September 30, 2011

Revised: February 29, 2012

Published: April 2012

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Abstract

Some inequalities of Jensen type and connected results are given for quasiconvex functions on convex sets in real linear spaces.

Keywords:

Mathematics Subject Classification: 26D07, 26D15.

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References

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